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VJX }_} 



UC-NRLF 




TABLES 



OF 



HARMONIA 






University of California. 




TABLES 



OF 



HARMONIA 



9 



BY 



E. SCHUBERT. 



COMPUTED FOR THE 



AMERICAN EPHEMERIS AND NAUTICAL ALMANAC, 



*&- OP THB***^ 

riU-7.EBSIT7] 



BUREAU OF NAVIGATION, 

WASHINGTON. 

1869. 



\v 



- 



INTRODUCTION, 



A COMPLETE list of the general perturbations of Harmonia by Jupiter and the determination of the 
* elements by means of them having been published in Vol. LXVI of the " Astr. Nachrichten," it is only 
necessary to repeat here the retained terms of the perturbations in the contracted form and the elements 
upon which the Tables have been constructed. 

In these M and M' are the mean anomalies of Harmonia and Jupiter respectively. 
Denoting the arguments as follows : 



1 = - M' 

U = M - 2 M' 

HI = M- M' 

IV = M3M' 

V = '2 M - M' 

VI = M 

VII = 2 M - 3 M' 

VIII = 3 M - 2 M' 

IX = 3 M - 4 M' 



X = 

XI = 
XII = 

XIII = 

XIV = 
XV = 

XVI = 
XVII = 



M - 4 M' 

3 M - M' 

4 M 3 M' 
M 2 M' 
M -3M' 
M - M' 

3 M - 5 M' 

4 M' 5 M' 



XVIII = 

XIX = 

XX = 

XXI = 

XXII = 

XXIII = 

XXIV = 
XXV = 



5 M - 3M' 

4 M - M' 
5M-2M' 

5 M - 4 M ' 
2 M - 5 M' 

- 2 M - M' 
5M-GM' 

6 M - 5 M' 



The perturbations of the rectangular coordinates in units of the Sixth Decimal (the plane of the orbit 
of Harmonia being the fundamental-plane) are : 



M 

1 M 

2 J\l 

3 .If 

4 M 

1 

2 I 

3 1 

4 I 

II 

'> II 
3 II 

III 

2 III 

3 III 
'4 III 

5 III 

IV 
2 IV 



- 3.10* 
+ 0.05* 
+ l.Obt 
+ 0.07* 



+733.1 
-2G5.2 
-222.8 

- 14.5 

-846.3 

- 2.7 

- 0.9 

+ 4J.4 
v+147.4 
+119.8 
+ 2.7 
+ 0.5 

-377.4 

- 0.9 



+412.52* 
+ 22.89J 
+ 1.26* 
+ 0.06* 

+ 146.4 

- 132.3 
- 83.1 

4.0 

- 348.9 

5.1 

- 0.4 



11.5 

75.3 

28.3 

1.7 

0.5 



- 85.0 



- 11.38* 
-412.35* 

- 22.88* 

- 1.26* 

- O.OGi 

+ 147.2 

- 132.1 

- 83.0 

4.0 

- 344.6 

- 15.0 

- 0.4 

+ 15.9 

- 69.6 

- 27.8 

- 1.7 

- 0.5 

- 85.1 



1.06* 
0.07* 



- 728.9 
+ 265.5 
+ 222.8 
+ 14.5 

+ 847.5 
+ 41.1 
+ 0.9 

+ 31.5 
+ 136.1 
+ 119.6 

+ 3.0 
+ 0.8 

+ 378.4 

+ 0.9 



+18.94* 
+ 0.44* 



+ 13.5 

- 1.9 

- 0.0 



+ 23.0 
+ 5.6 



- 2.3 
+ 1.1 

- 0.8 



+ 4.4 



+ 2.7 

- 1.4 

- 0.4 



+ 9.3 

+ 2.8 



- 1.3 

+ 0.9 

- 0.4 



+ 2.0 





fi 


1\ 


fi 




CO* 


in 


cot 


lin 


cos 


sin 


V 


-328.0 


- 67.3 


+ 67.5 


- 328.6 




- 5.6 


- 1.1 


a v 


+ 16.0 


+ 6.6 


- 0.6 


+ I.V.i 








VI 


- 8.1 




+ l.H 






- 1.4 




1 V 1 


+112.0 






+111.5 




+ 5.3 




J VI 


+ 6.1 


- 1 -' 


+ 1.1 


+ 6.1 








VII 


+ 93.4 


+ 11.3 


-1237 


+260.6 




- 30.5 


- 19.9 


2 VII 


1.1 


- 1.4 


1.4 


+ 1.6 








Mil 


+205.6 


+ Ki 1 


- 85.0 


+205.2 




- 1.0 


- 0.4 


IX 


- 27.4 


- 14.9 


- 15.7 


+ 3.8 




- 1.5 


- 1.5 


X 


+ 32.4 


- 0.7 


- 0.7 


- 32.3 








XI 


- 2 1 ,'.-' 


- 4.7 


+ 4.8 


- 22.4 








XII 


+ 20.7 


+ 10.2 


- 10.1 


+ 20.5 








XIII 


- 9.8 


- 3.9 


- 3.8 


+ 9.8 








XIV 


- 9 


- 3.5 


- 3.5 


+ 9.6 








XV 


- 2.5 


+ 15.0 


+ 16.0 


+ 2.5 




' 




XVI 


- 4.8 


- 3.3 


- 3.3 


+ 4.1 








XVII 


- 3.1 


- 4.6 


- 5.0 . 


+ 3.6 








\VIII 


+ 1.6 


+ 0.9 


- 0.9 


+ 1.6 








MX 


- 1.3 


- 0.3 


+ 0.3 


- 1.3 








XX 


+ 1.0 


+ 0.4 


- 0.4 


+ 1.0 








X XI 


+ 1.7 


+ 1.9 


- 1.8 


+ 1.7 








.XXII 


+ 1.2 


- 0.9 


- 0.9 


- 1.3 








XXIII 


- 0.8 


+ 0.5 


+ 0.5 


+ 0.8 








XXIV 


- 0.8 


- 1.5 


- 1.6 


+ 1.3 








XXV 


4- .1 -, 


+ 0.7 


- 0-7 


+ 0.5 








Elfmaitt. 




1863, Jan. 0, Washington Mean Tiim-. 




/ // 


/ // 


J/ = 186 52 40.5 f = 2 40 13.6 


- = 051 7.0 ,, = 1039".3353 
Q = 93 34 51.8 f Ml * ** | og a = 0.355500 


= 45 48.4 




The following Normals arc reduced to the mean equinox 1863.0. 




Berlin M. T. 


" ' Berlin M. T. 


a 


,1 


1856 April 


+ 5 4 1 lie 1861 December 27.5 


78 3o BJJ 


+i>3 3/'.4 


7 Soplemb. 


]-:', 1883 M.u 


'->I7 4 58.0 


- 8 !>l L"J - 


1- 1 . -. 


1 !' 1", 1 +l!l M 1II.7 l-.l II, , .,!., . 


17 41 34.7 


- 49 44.!) 


Julr 


-24 47 






and they arc rcprcsentc.! l.y tin- Tal.l. , uiili thu followinu' r. -^iiluals :- 


. 


A o co t A <J A o cog <5 


A i 


-:: 


n 

+0.3 


:" 0.3 4.7 


+2.9 


+"' +5.0 


+ 1.7 


+fi.l . :;s 





Example for computing a Place from the Tables. 
1866, March l d .5, Berlin M. T.=March l d 5" 58 m 15 Washington M. T. 



log 71 



log e 

8.668304 9.959502 0.354557 

We will refer the place to the mean equinox 1863.0. From Table V we take the logarithms, 



cos (z, z) 

9.998741 

and from Table VI the constants, 



cos (T/! z) cos (z t z) 

8.220160n 8.870363 



cos ^ y) 
8.646290 



cos (1/1 y) 

9.963134 



O / II 

90 57 13.9 



C' 

o / // 

351 7 37.2 



cos (z, y) 

9.594004w 



log sin a 
9.998801 



COS (Z! Z) 

8.788935rc 



COS (j/i Z) 

9.596393 



COS (Zi Z) 

9.962224 



log sin A 

9.963641 



1866 

March 

1 day 

5 hours 

58 minutes 

15 seconds 



1866 
March 
1 day 
6 hours 



166 
March 
1 day 
6 hours 



1866 
March 
1 day 
6 hours 



2 46 26.5 

= mean anomaly, and t = time since 1863.0 are taken from Table I. 

M t 



143 17 51.95 +3.00068 
17 2 0.78 
17 19.33 
3 36.53 

41.86 

^ 0.18 

160 41 30.63 +3.16553 



0.16154 
0.00274 
0.00057 



1- 



cot 



cot 
M = cot 



M 



80 20 45.3 



_ v' 81 11 28.8 

v' 162 22 57.6 

From Table II. c- 1 4.4 

v 162 21 53.2 

COS V 

e cos v 
1 + e cos v 
r 
Formation of the Arguments from Table III.* 



log sin c 
9.601621 



9.230726 
9.190228 



0.044402 
0.955598 



I. 

86.12 
355.10 
359.92 
359.98 

81.12 
X. 

127.8 

357.4 

0.0 

0.0 

125.2 

XIX. 

399 

63 
1 





II. 

I! 15.54 
7.23 
0.12 
0.03 

322.92 

XI. 

156.0 

46.2 

0.8 

0.2 

203.2 
XX. 

169 

75 

1 



245 



HI. 

229.42 
12.31 

0.21 
0.05 

241.99 
XII. 
111.5 
53.2 

0.9 
0.2 

165.8 
XXI. 

341 

65 

1 



47 



IV. 

41.65 

2.32 

0.04 
0.01 

44.02 

XIII. 

28.9 
333.2 
359.5 
359.9 

1.5 

XXII. 

357 
9 




6 



V. 
12.71 

29.16 
0.49 
0.12 

42.48 

XIV. 

115 

328 

359 



82 
XXIII. 

160 

321 

359 



120 



VI. 

143.30 
17.03 

0.29 
0.07 

160.69 
XV. 
303 

338 




281 
XXIV. 

153 

56 

I 



210 



VII. 

1.S4.9 

19.4 

0.3 

0.1 

204.7 

XVI. 

140 

26 





166 
XXV. 

210 

78 
1 


289 ' 



VIII. 

242.1 

41.3 

0.7 

0.2 

234.3 

XVII. 

284 

44 
1 


329 



9.979096 n 
8.647400 n 
9.980276 
0.37428 f 

IX. 

54.4 
31.5 

0.5 

0.1 

86.5 
XVIII. 

255 

70 

1 



326 



"The arguments being expressed in degrees and decimals, 363, 720, or 1080 must he suhtracted when one of the sums 
greater than one of those numbers. 





f 


'/' 


e 




Terms with I 
I 
11 
111 
IV 
V 
\l 
VII 
VIII 

IX 

\ 
\i 

All 
Mil 
A IV 
XV 

\M 
\\ II 
AVIII 
XIX 
\\ 
XXI 
\\ll 
\\lll 
\ \l\ 
\X\ 

f, V, f 


+ 
IBM 

634.6 

9U 

22.2 
U 

o.a 
ii 

A3 

1.3 


330.6 
279.4 

1 >'-_ 
:i|.:t 

16.8 
19.1 

IT.:, 
9.9 
4.8 
IU 

05 

1.3 
0.8 

0.5 




ua&a 

DBJ 

20a.6 

:r,.T 
3.8 

2.6 

4.3 
14.7 

S3 
0.3 
4.1 

0.2 

05 
0.8 


664.2 

830 1 

HMU 

BJ9.7 

26.1 

:!.-> 



6.0 
1.6 

0.7 
1.0 

0.6 


+ 

19.0 
6.8 

1 1 .r. 
1.6 
4.5 

35.9 
0.1 


4.9 
6.3 

1.6 


sin (.' + r) 253 19 7.1 9.U8i:!-'7 
r gin n 0.373082 
z 0.3544il'.< 


sin (B> + r) 165 8 19.7 9.409050 

r sin b (l.:7!>-.'-.' 
y 9.746: '7-.> 


sin (C'+r) 153 29 30.4 9.6411652 

r sin c !'.'.I7.-)902 
z 9.625554 


y +0.5.V-l::t 
V - 399 
K :;:;:! 
A cos <)' sin a 1 +0.264672 !>. I-J-J7H 


z -2.261563 
f - 236 

X +0.1)38542 
A cos d' COB a' -1.323257 0.12l644n 


cos a' ii.'.i'.M !-,' 
tan a> Kirf 41 21.1 0.301064n 


: +0.422-J:tr. 
f 7! 
Z -0.127-J'.':* 
Asinii' +0.294863 !M> 
A cos d' 0.1301(i-J 
cos &' 9.1te!i-7-,! 
tan /,' +12 19 32.2 03394 

A 0.140-.': nt 

Reduction to the npp. ci|iiiin>x. 

;/ 
/ + 12.24 

e i.oo.v,' 
<; 16 

sin (G' + a') 22(5 r.7 !' -lili-,, 
tan d' 9.3395 


11 ID:< 
-34 


I:; -; 
75 


1517J2 
^39 


l'.Ui).7 
3.5 


7:' 1 
+ 


12.8 
6.6 


co(x t z)? - 247.2 
ccw (y, z) J + 6.5 

co (:, i) ? + 4.9 


f - 235.8 

co,(x l9 )f - H.O 
eo(yi)?' - 361.5 
co. (r, y) C - S6.1 


1.62 0.2085* 
A o' + 10.62 

cos(C' + o') /( !i.SI4-,' 
Ad' - 6.1)1 (> -:!'.>! 

a 168 41 3l'.7 
(i +1-J 111 2r..:t 


17 - 396.6 

co(i,s)f + I:.-.' 
co.(y,i),' IV, | 

CO. * 1,1 1 




- : i 







TABLE I . 


FOR THE MEAN ANOMALY. 


The times are referred to the meridian of Washington. 


Years. 


M 


1 


Years. 


M 


t 


18505 


168 56 49.43 


- 6.99795 


1879 


/ // 

74 3 55.95 


+16.00000 


1657 


274 19 36.82 


5.99863 


18805 


179 43 52.67 


17.00205 


1858 


19 42 14.20 


4.99932 


1881 


285 6 30.06 


18.00137 


1859 


125 4 51.59 


4.00000 


1882 


30 29 7.44 


19.00068 


18605 


230 44 48.31 


2.99795 


1883 


135 51 44.83 


20.00000 


1861 


336 7 25.69 


1.99863 


18845 


241 31 41.55 


21.00205 


1862 


81 30 3.08 


- 0.99932 


1885 


346 54 18.93 


22.00137 


1803 


180 52 40.46 


0.00000 


1886 


92 16 56.32 


23.00068 


18645 


292 32 37.18 


+ 1.00205 ' 


1887 


197 39 33.70 


24.00000 


1865 


37 55 14.56 2.00137 


18885 


303 19 30.42 


25.00205 


1866 


143 17 51.95 


3.00068 


1889 


48 42 7.80 


26.00137 


1867 


248 40 29.33 


4.00000 


1890 


154 4 45.19 


27.00068 


18685 


354 20 26.05 


5.00205 


1891 


259 27 22.57 


28.00000 


1809 


99 43 3.44 


6.00137 


18925 


5 7 19.29 


29.00205 


1870 


205 5 40.82 


7.00008 


1893 


110 29 56.68 


30.00137 


1S7J 


3JO 28 18.21 


8.00000 


1894 


215 52 34.00 


31.00068 


18725 


56 8 14.93 


9.00205 


1895 


321 15 11.45 


32.00000 


1873 


161 30 52.31 


10.00137 


18965 


06 55 8.17 


33.00205 


1874 


266 53 29.70 


11.00068 


1897 


172 17 45.55 


34.00137 


1875 


12 16 7.08 


12.00000 


1898 


277 40 22.94 


35.00068 


18765 


117 50 3.80 13.00205 


1899 


23 3 0.32 


36.00000 


1877 


223 18 41.18 


14.00137 


19005 


128 42 57.04 


+37.00205 


1878 


328 41 18.57 


+15.00068 






Month*. 


M t 


Days. 


M 


t 


, January . 


o o o.oo + o.ooooo 


1 


o / // 
17 19.34 


+ 0.00274 


February 


8 56 59.39 * 0.08488 


2 


34 38.67 


0.00548 


March 


17 2 0.78 


0.16154 


3 


51 58.01 


0.00821 


April 


25 59 0.18 0.24042 


4 


1 9 17.34 


0.01095 


May 


:!4 38 40.24 0.32850 


5 


1 26 30.08 


0.01369 


June 


43 35 39.63 0.41344 


6 


1 43 56.01 


0.01643 


July 


52 15 19.C!) 0.49558 


7 


2 1 15.35 


0.01917 


August 


(ii 12 19.08 0.58046 


8 


2 18 34.68 


0.02190 


September 


70 9 18.48 0.66534 


9 


2 35 54.02 


0.02464 


October 


78 48 58.54 0.74748 


10 


2 53 13.35 . 


0.02738 


November 


87 45 57.93 0.83236 


20 


5 46 26.70 


0.05476 


December 


96 25 37.!)!! + 0.91450 


. 30 


8 39 40.05 


+ 0.08214 


In Bissextile Years one day must be subtracted from the date in the first two months. 



8 



TABLE I. Concluded. 


FOR THE MEAN ANOMALY. 


The limes are referred to the meridian of Washington. 


Hours. 


M 


' 


Hours. 


M 


' 


1 


43.31 


+0.0001 1 


13 


i n 
:> 22.98 


+0.00149 


1 


1 -Jfi.ffl 


o.ooo-j:) 


14 


10 6.28 


0.00 ICO 


3 


2 


O.OOOM 


15 


10 49.59 


0.001 7 'J 


4 


i.v.'-J 


0.00046 


16 


11 32.90 


0.00183 


5 


3 36.53 


0.00057 


17 


12 16.20 


0.00195 


6 


4 19.84 


0.00069 


18 


12 59.51 


0.00206 


7 


5 3.14 


0.00080 


19 


13 42.81 


0.00218 


8 


5 46.45 


0.00092 


20 


ii -ji ;.r_' 


0.00229 


9 


6 2!>.;:. 


0.00103 


21 


15 9.43 


0.00241 


10 


7 13.06 


0.00114 


n 


15 52.7:! 


0.00252 


11 


7 56.37 


0.00126 


23 


16 36.04 


0.00964 


II 


8 39.67 


+0.00137 


M 


17 i!i.:u 


0.00275 




M 




M 




For Minutes. 


For Seconds. 




For Minutes. 


For Seconds. 


1 


o'.72 


n 
0.01 


31 


22.37 


n 
0.37 


2 


1.44 


0.02 


32 


23.10 


0.38 


3 


2.16 


0.04 


33 


23.82 


0.40 


4 


2.89 


0.05 


34 


24.54 


0.41 


1 


3.61 


0.06 


35 


KJH 


0.42 


i 


4.33 


0.07 


36 




0.43 


7 


5.05 


0.08 


37 


26.70 


0.45 


8 


5.77 


0.10 


38 


27.43 


0.46 


9 


6.50 


0.11 


39 


28.15 


0.47 


10 


TJU 


0.12 


40 


28.87 


0.48 


11 


7.94 


0.13 


41 


99.60 


0.41) 


13 


' ' ; 


0.14 


40 


30.31 


0.51 


13 


9.38 


0.16 


43 


31.03 


0.52 


14 


10.10 


0.17 


44 


31.76 


0.53 


15 


10.83 


0.18 


M 


39.48 


0.54 


16 


11.. V. 


0.19 


46 


33.10 


0.56 


117 


12.27 


0.20 


47 


33.91 


0.57 


18 




0.22 


1- 


34.64 


0.58 


19 


111.71 


0.23 


40 


36.37 


0.60 


90 


14.43 


0.24 


50 


36X19 


0.60 




16.10 


0.25 


61 


:u;>i 


0.61 


M 


K. -- 


"..' 


M 


37.83 


0.62 


S3 




0.28 


53 




O.C4 


N 




0.29 


r.4 


:',-.: 17 


0.65 


;-. 




0.30 


K 


30.70 


0.66 


' 




0.31 




40.41 


0.67 


'- : 




0.32 


69 


41.11 









0.34 




41Jt 


0.70 


,. 




0.35 


1 1 




0.71 


M 






GO 


43.31 


0.72 









TABLE II. 




FOR THE 


CORRECTION c TO BE ADDED TO THE AUXILIARY ANOMALY '. 


Argument = Jlf. For M > 180 the Argument is 360 M, and the sign of c is to be reversed. 


Arg. 


c 


Diff. 


Arg. 


c 


Diff. 


Arg. 


c 


Diff. 


Arg. 


c 


Diff. 


o 


11 


H 





'II 


ii 


O 





ii 


O 


ii 


ll 


o 


0.00 




45 


+1 13.90 




90 


- 13.77 




135 


-109.08 




1 


+ 4.30 


+4.30 


46 


113.40 


-0.50 


91 


17.62 


-3.85 


136 


108.67 


+0.41 


2 


8.59 


4.29 


47 


112.75 


92 


21.43 


3.81 


137 


108.14 


0.53 


3 


12.86 


4.27 


48 


111.95 


0.80 


93 


25.20 


3.77 


138 


107.49 


0.65 




17.11 


4.25 


49 


111.01 


0.94 


94 


28.93 


3.73 


139 


106.72 


0.77 


5 


21.35 


4.24 


50 


109.92 


1.09 


95 


32.63 


3.70 


140 


105.84 


. 0.88 


6 


25.56 


4.21 


51 


108.68 


1.24 


96 


36.29 


3.66 


141 


104.84 


1.00 






4.17 






1.38 






3.60 






1.11 


7 


29.73 




52 


107.30 




97 


39.89 




142 


103.73 




8 


33.85 


4.12 


53 


105.79 


1.51* 


98 


43.44 


3.55 


143 


102.50 


1.23 


9 


37.92 


4.07 


54 


104.15 


1.61 


99 


46.92 


3.48 


144 


101.17 


1.33 


10 


41.93 


4.01 


55 


102.37 


1.78 


100 


50.34 


3.42 


145 


99.73 


1.44 


1] 


45.90 


3.97 


56 


100.45 


1.92 


101 


53.70 


3.36 


146 


98.17 


1.56 


12 


49.80 


3.90 


57 


98.41 


2.04 


102 


56.99 


3.29 


147 


96.51 


1.66 


13 


53.62 


3.82 


58 


9G.24 


2.17 


103 


60.20 


3.21 


148 


94.75 


1.76 






3.75 






2.28 






3.14 








14 


57.37 




59 


93.96 




104 


63.34 




149 


92.89 


' 


15 


61.03 


3.66 


60 


91.56 


2.40 


105 


66.40 


3.06 


150 


90.93 


1.96 


16 


64.61 


3.58 


Cl 


89.05 


2.51 


106 


69.37 


2.97 


151 


88.87 


2,06 


17 


68.10 


3.49 


62 


86.42 


2.63 


107 


72.26 


2.89 


152 


86.72 


2.15 


18 


71.49 


3.39 


63 


83.69 


2.73 


108 


75.05 


2.79 


153 


84.48 


2.24 


19 


74.77 


3.28 


64 


80.86 


2.83 


109 


77.75 


2.70 


154 


82.14 


2.34 


20 


77.96 


3.19 


65 


77.93 


2.93 


110 


80.3G 


2.61 


155 


79.72 


2.42 


21 


81.04 


3.08 


66 


74.90 


3.03 


111 


82.86 


2.50 


15G 


77.22 


2.50 


22 


84.00 


2.96 


67 


71.78 


3.12 


112 


85.26 


2.40 


157 


74.64 


2.58 


23 


86.84 


2.84 


68 


68.58 


3.20 


113 


87.57 


2.31 


158 


71 .97 


2.67 


24 


89.55 


2.71 


69 


65.30 


3.28 


114 


89.77 


S.20 


159 


69.23 


2.74 


25 


92.14 


2.59 


70 


61.94 


3.36 


115 


91.86 


2.09 


160 


66.42 


2.81 


26 


94. GO 


2.46 


71 


58.51 


3.43 


116 


93.84 


1.98 


101 


63.54 


2.88 


27 


90.93 


2.33 


72 


55.02 


3.49 


117 


95.71 


1.87 


162 


60.59 


2.95 


28 


99.12 


2.19 


73 


51.47 


3.55 


118 


97.47 


1.76 


163 


57.58 


3.01 


29 


101.18 


2.06 


74 


47.85 


3.62 


119 


99.11 


1.64 


1G4 


54.51 


3.07 


30 


103.10 


1.92 


75 


44.18 


3.67 


120 


10Q.G4 


1.53 


165 


51.38 


3.13 


31 


104.87 


1.77 


70 


40.47 


3.71 


121 


102.08 


1.44 


166 


48.20 


3,18 


32 


106.50 


1.63 


77 


36.71 


3.76 


199 


103.34 


1.26 


167 


44.97 


3.23 


33 


107.98 


1.48 


78 


) 70 

32.92 


123 


104.51 


1.17 


168 


41.69 


3,28 


34 


109.31 


1.33 


7!) 


29.09 


124 105.57 


1.06 


169 


38.37 


3.32 


35 


110.50 


1.19 


80 


25.23 


3.86 


125 106.50 


0.93 


170 


35.01 


3.36 


36 


111.53 


1.03 


81 


21.36 3 ' 8? 


126 


107.31 


0.81 


171 


31.61 


3.40 


37 


112.41 


0.88 


89 


17.47 


127 108.00 


0.69 


172 


28.18 


3.43 


38 


113.13 


0.72 


83 


13.56 


128 108.56 


0.56 


173 


24.72 


3.46 


39 


113.70 


0.57 


84 


9.64 


129 109.00 


0.44 


174 


21 .24 


3.48 


40 


114.12 


0.42 


85 


5.72 


130 


109.32 


0.33 


75 


17 74 


3.50 


41 


114.38 


0.36 


86 


+ 1.80 3 ' 92 


131 


109.52 


0.20 


76 | 14.21 


42 


114.49 


+0.11 


87 


- 2.11 3 ' 91 


132 109.59 


-0.07 


77 10. G7 


3.54 


43 


114.45 


-0.04 


88 


6.01 3 ' 9 


133 109.54 


+0.05 


78 7.12 


3.55 


44 


114.25 


0.20 


89 


9.90 3 ' 89 


134 109.37 


79 - 3.56 


45 


+113.90 


0.35 


90 


- 13.77 


135 1 -109.08 


+0.29 


180 0.00 


+3.56 




COt 4 0' 


1 e 
= . . cot J M 


True Anomaly r = r' + c log . -T-| = 9.959502 




r 


p 


log;, = 0.354557 log , = 8.668304 


~ 1 -f- F COS V 



II- 



10 











TABLE 11 


I. 










FOR TIIK AHCl MENTS. 


A. For the different Yean. The times are referred to the 


meridian of Washington. 


Yean. 


t 


II. 


III 


IV. 


V VI. 


VII. 


Mil 


l.\ 


X. 


XI. 


XII. 


XIII. 
















4 












o 


o 


o 


o 





o 


O 


o 








o 





i-:-;/; 


29.54 


88849 


198.49 




7.43 168.95 


66.5 


9064 


265.0 


287.1 


176.4 


44.4 2.-.H.1 


i -:,: 




874.78 


273.51 


'.171.97 


1-7. -7 -.'7l.:n 


186.3 


101.4 


99.8 


271.2 


102.2 


14.9 84.1 


1868 




317.1- 




286.37 


8.30 19.70 306.1 


356.9 


294.7 


9564 


28.0 


31.-,.:, 278.1 


i -:, 




2.20 


6164 


300.77 


188.72 1-J5.0.S 65.9 


859.4 


1994 


939.3 


313.8 


3lli.O II'J.O 


i-..'/; 


898.18 


47.0.-, 


138.90 


:u.vji 


9.65 -j:i.7.-. 186.0 


148.5 


3944 


993. 1 


240.4 


J-7.1 305.6 


1861 




91.T8 


Ji3.!>r, 


329.61 


190.08 33li.l-J IW5.7 


44.0 


169.7 


207.4 


166.2 


958,0 


139.5 


I -.;_ 


207.50 


136.51 


289.00 


34441 


10.50 M.50 




299.5 


3544 


191.5 


92.0 


998.5 


333.5 




I77.]- 


1-1.-J3 


4.06 


:;.-.-. II 


190.93 186.88 


185.3 


1964 


189.3 


175.6 


17.8 


199.0 


1674 


! i- 1/)' 


I4C..77 




7H.31 


12.85 


ll.-.i .':'.'. :.l 


305.4 


91.2 


24.7 


159.6 


304.4 


170.5 


1.0 


i-..-, 


in;, ii 


J7H.-1 


I5I.3T, 


27.25 


r .<;.> 37.92 


054 


346.6 


9194 


143.7 


230.2 


141.0 


195.0 


1866 


96.19 


:u :,.:, i 




1146 


12.71 143.30 


184.9 


949.1 


54.4 


1974 


156.0 


111.5 


38.9 


I-..7 




040 


304.47 


56.05 


193.14 248.67 


304.7 


137.G 


9494 


111.8 


81.8 


89. 1 


999.9 


!-..-/,' 




45,11 


19.79 


70.49 


14.06 35I.:H 


64.8 


33.8 


84.6 


964 


8.4 


534 


56.4 


! i860 






94.78 


94.06 


r.'i..-,n 99.79 


1844 


9994 


279.4 


80.0 


294.2 


94.0 


250.4 


1870 


3-JI.73 


i :u.5i; 


169.83 


99.29 


1 l.'.i-J -J.I.-..KI 


304.4 


184.7 


114.2 


64.0 


220.0 


354.6 


-I.I 


1-71 


."i.ii 


179.29 


21 1.-- 


113.7(1 


195.35 310.47 64.2 


80.2 


309.0 


48.1 


145.8 


395.1 


978.4 


i-;-.'/; 




J-J 1.11 


180.14 


128.14 


16.27 50.14 1-1.:'. 


336.4 


144.4 


39.1 


7-.'. 1 


-.".Hi.5 111.9 


1873 






36.19 


n.'.:.i 


196.71 1C.I..VJ :iii4.l 


9314 


3394 


16.2 


358.2 


267.1 305.8 


1-71 




3I3..-.H 


iiii.-ji 


[KM 


17.13 -JIH5.89 


63.8 


127.4 


174.1 


0.3 


284.0 


237. (i 139.S 


1875 


173.03 




i<>.->.> 


171.31 


19756 12.27 


183.6 


994 


34 


344.4 


209.8 


i 333.8 


ienB 


14949 


4:1.17 


ji;o..v, 


186.78 


18.4^ 117.-.I3 


303.7 


8794 


9044 


398.4 


136.4 


179.C IC.7.3 


1877 


II -J.-JI 






200.19 


198.91 223.31 


63.5 


174.5 


39.1 


319.6 


62.2 


150.1 1.3 


1878 


81.97 


n-j.ti-j 




81169 


l'.i.3l .i-.'-..;;i 


183.3 


70.0 


9334 


996.5 


348.0 


120.7 


195.3 


1879 


SIM 


I77.:r, 


l-J.-i.7l 




l:t'.'.77 7I.H7 


303.1 


3964 


68.7 


280.6 


273.8 


914 


99.9 


i-- >/; 


81.93 




WOJM 


84843 


20.70 I7H.73 C.3.-J 


991.7 


964.1 


964.7 


200.4 


69.6 


999.7 


i--i 








86743 


JOI.I-J '.'-.-,.11 l-.'.'.i 


117.1 


99.0 


JI-.7 


126.2 


33.9 


.Mi. 7 


I--.- 


n '...- 


IIII.IM 


35 1.07 


97943 


,'I..V, 30.111 302.7 


I-M; 


293.8 


939.8 


59.0 


3.7 -J.-.0.7 


l--: 




:{.--:.:(- 




286.64 


-J.il.ii- i:i:..-r. <;>.:, 


268.1 


1984 


216.9 


337.8 


331.2 -1.7 


i--i/; 




4143 


141.38 


3014? 


J-J.!MI -J1I..VI l-.'.il 


1644 


324.0 


200.9 


964.4 


305.7 


9784 


i---. 






91643 


31848 


J03.33 3IC.1H 302.4 


59.8 


i:.-.- 


185.0 


1904 


276.2 


112.1 


:--.. 






991.48 




-':!. 7. ; I.-.'.-.'- .;.'.! 


315.2 


3634 


169.1 


116.0 


946.7 


306.1 


1--7 


16847 


17:.. IM 




314.2- 


joi. in nc.iii; 1814 


JI0.7 


i. --..-. 


153.1 


41.8 


JI7.3 


140.1 


wB 


I3-.I7 








-.'.-..II 303.33 3ii-J.(l 


1064 




137.9 


398.4 


1 .7 333.6 


!--.. 


III-. II 




I. v;.-i 


18.19 


-o.-,..-,| I-.70 614 


J.i 


218.7 


191.3 


9544 


I.Vi.-J 167.6 


I-,, 


77. -1 


3011.71 


j:i - ' 


8748 


: I.-.4.08 


181.6 




53.6 


106.3 


1804 


l-J'.t..- 1.6 


I".H 






. 


ILU 




301.4 


1684 


9484 


89.4 


105.8 


100.3 1115.5 


i - . /; 


17.ll- 






6846 


:..rj 


614 


in.:, 


83.7 


7:1.1 


32.4 


71.7 


89.0 


MM 


346.78 


-l.lll 




70.71; 


-'07.7.-, 110.50 


181.3 


305.0 


9784 


:,7.r, 


318.2 


49.3 


993.0 


i-<i 


3ir,..|:: 


198.74 


17941 


-:.. 1 7 


-'-.I- -J 15.88 


801.0 


9004 


113.3 


114 


944.1 


12.8 


.-,7.0 


i- 




17. MI, 


-.'I7.:ir. 




208.61 3-JI. -.:. 




064 




-'.-,.7 


1094 


313.3 


251.0 


i - - /; 




JI-.3I 




111.01 


180.9 


369.1 


1434 


9.7 


96.4 


311.7 


-1.:. 


1891 








I'.'- II 


I7.'.3o 300.1 


8474 


33.--. 1 


3534 


894 


885.3 


978,6 


!-,. 


. 


807.76 


M2.7-J 


14941 


: i;7 no.:, 


1 !:;.! 


1734 


837.9 


30S.1 


956.8 


119.4 


;- .. 






1-7.77 


157.21 


Jio.-.' -.M.II:, 1804 


384 


-.n 


3914 


9384 




306.4 










I7l.li.-i 


3i.7i i .'-.:. 


904.8 


203.4 


30(1.0 


1604 


197.8 


139.9 

















11 



TABLE III. Continued. 


FOR THE ARGUMENTS. 


A. For the different Years. The times are referred to the meridian of Washington. 


Years. 


XIV. 


XV. 


XVI. 


XVII. 


XVIII. XIX. 


XX. 


XXI. 


XXII. 


XXIII. 


XXIV. XXV.. 


16565 


280 221 


o 

294 




103 




213 345 


O 

184 


243 


126 




52 




302 81 


1857 


83 85 


99 


13 


289 


17 


290 


288 


185 


171 


287 202 


1858 


247 


309 


264 


283 


5 


48 


36 


334 


244 


289 


272 323 


1859 


51 


173 


68 


193 


81 


79 


143 


20 


303 


48 


257 83 


16G05 


214 


37 


233 


104 


158 


111 


250 


66 


2 


167 


243 205 


1861 


17 


262 


37 


14 


234 


142 


356 


112 


61 


286 


228 326 


18G2 


181 


126 


202 


284 


310 


. f!4 


103 


158 


121 


45 


213 


87 


1803 


345 


350 


7 


193 


26 


205 


209 


203 


179 


163 


197 


207 


16645 


148 214 


171 104 


103' 


237 


316 


250 


239 


282 


183 


329 


1865 


311 79 


336 14 


179 


268 


62 


295 


298 


41 


168 


90 


1866 


115 303 


140 


284 


255 


299 


169 


341 


357 


160 


153 


210 


1867 


279 


167 


305 


194 


331 


330 


275 


27 


56 


278 


138 


331 


18685 


82 


31 


110 


104 


48 


3 


22 


73 


116 


37 


124 


93 


1869 


245 255 


274 


14 


124 


34 


129 


119 


175 


156 


109 


214 


1870 


49 120 


79 


284 


' 200 


65 


235 


164 


234 


275 


94 


334 


1871 


213 344 


243 


194 


276 


96 


341 


210 


293 


34 


79 


95 


18725 


16 208 


48 105 


353 129 


89 


257 


352 


152 65 


217 


1873 


180 


72 


213 14 


69 160 


195 


302 


51 


271 


50 


337 


1874 


343 


296 


17 284 


145 191 


301 


348 


.110 


30 


35 


98 


1875 


147 


161 


182 194 220 222 


47 


33 


170 


148 . 


19 


319 


18765 


310 


25 347 105 297 254 


155 


80 


229 


267 


5 


341 


1877 


113 


249 


151 15 13 286 


261 


126 


288 


26 


350 


101 


1878 


277 


113 


316 


265 89 317 


7 


171 


347 


145 


335 


222 


1879 


81 


338 


120 


194 165 348 


114 


217 


46 


264 


320 j 343 


18805 


244 


202 


285 105 242 20 


221 


264 


106 


22 


306 


105 


1881 


48 


66 90 


15 318 


51 


327 


309 


165 


141 


291 


225 


1862 


211 


290 254 


285' 


34 


82 


74 


355 


224 


260 


276 


346 


1883 


15 


154 59 


195 


110 


114 


180 


40 


263 


19 


261 


106 


18845 


178 


18 224 


105 187 


146 


287 


87 


342 


137 


247 


228 


1865 


342 


243 


28 


15 


263 


177 


34 


133 


41 


256 


232 


349 


1886 


145 


107 


193 


285 


339 


208 


140 


178 


100 


15 


217 


110 


1887 


309 


331 


357 


195 


55 


239 


246 


224 


160 


134 


202 


230 


18685 


112 


195 162 


106 132 


272 


354 


270 


219 


252 


187 


352 


1889 


276 


59 327 


15 


208 


303 


100 


316 


278 


11 


172 


113 


1890 


79 


284 


131 


265 


284 


334 


206 


2 


337 


130 


157 


234 


1891 


243 


148 


296 


195 


5 


312 


47 


3G 


249 i 142 


354 


18925 


46 


12 


101 


106 77 


38 


GO 


94 


96 


7 


128 


116 


1893 


210 


236 


265 


16 153 


69 


166 


140 


155 


126 


113 


237 


1894 


13 101 70 


286 229 


100 


272 


185 


214 


245 


98 


357 


1695 


177 


325 234 


196 305 


131 


18 


231 


273 


4 


83 


116 


18965 


340 


189 39 


106 22 163 


126 


277 


332 


122 


69 


240 


1897 


144 


53 


204 


16 98 195 


232 


323 


31 


241 


54 


1 


1898 


308 


277 


8 


266 173 226 


338 


9 


91 





39 


121 


1899 


111 


142 


173 


196 


249 257 


85 


54 


150 


119 


24 


242 


19005 


274 


6 


336 


106 326 289 


192 


101 


209 


237 9 4 





12 



TABLE 


III . Co n tinned. 








FOR THE ARGUMENTS. 


It. Variation* of thr Argument* for the different Months. The times are referred 


to the meridian of Washington. 


M nth.. 1. II. 


III. 


IV. V VI 


VII 


VIM. 


IX. 






000 











January IHI 0.00 


0.00 


0.00 0.00 0.00 


0.0 


0.0 


0.0 


February X>7 4'.' 


<;:t7 


i -- I."i.:i2 - ' 


III.-.' 


21.7 


I&6 


M:, :i5.vi0 : B 


i-' 1:1 


-'.:(-' 2i.i(> I7.n:i 


1!",4 


41.3 


:u.r. 


April :f.. n."-' 




:t:,l ii. IK 


99.fi 


634) 


48.0 


M,* 350.03 H7n 


:ii,r 


47:1 .v.i.:ti :u.(i4 


:i'.t,i 


-in 


64.0 


Jim.- :t47.46 18.50 


31 JK 


:,;ir, rii.i 4:i..v. 


r':. 


105.7 


80.6 


Juiv :i44ixi -.-j-.-r 


:t7'Ji 


7.1:1 99.47 '^.-.H; 


.Vl.l 


126.7 


96.6 


August :i!-.>39 




rv:i-| 104.7! CI.21 


,..-, 


1 1- 1 


11:1.1 


September 1 '77 


4!>.!Hi 


l-.M.ii 70.16 


7!.7 


170.1 


r.-.i.7 


.br :7.32 33.44 


:>6.i3 


l(l.7:> 134.!>4 7 -..' 


89.6 . 


191.1 


1 ir, 7 


N MitM-r :4 .75 




I1.K7 l.-.ll-^i -7.77 


99.7 


212.8 


IflU 


,,lr 33225 




IMIti 11,:, on 'XZtt 


109.6 




17- -J 





Month*. \ M 


Ml 


Mil \ 1 \ XV. 


XVI 


XVII. 


XVIII. 




January "" . "" 




0.0 


I , 
o o o 

0.0 









n 


o 



Februarv -i: 1 - 


iW.l 


:t|.'..;i 343 348 


14 


n 


37 


March :u-,T 1 


:.:t.4 


:K3.2 :$38 


M 


41 


70 


April :i'.t. 1 


-I :. 


:iiit.o :ui :i-.>7 


-in 


ee 


109 


M 


10f.6 


us 


M 


89 


149 


II-.' 


I3U.7 


*.<\:.\ -'7:i :?04 


(W 


119 


180 


Jul 3521 141.7 




277.11 -'Ii4 293 


fl 


1:14 


216 


Augu.t I'-." 


I:M n 


Ji,:i,-. -JI-, -J-l 


!ir. 


i:,7 


253 


mber ll'-' 


220.0 


-.M;I 1 270 


inn 


180 


290 


.her 21:1.7 


-M7-J 


213 -J.V.I 


vu 


KM 


:WG 


238.0 




221.7 1% '-'47 


136 


'->-r> 


:i 


>t..T -''.I ." 


m i 


180 896 


1541 


'-'17 


39 




XXI 


XXII. XXIII. XXIV. 


XXV 






Month. M \ \ \ 








January (1 


o 



000 

I) 


o 

II 






nary 33 


34 


:, :i:t:t -jit 


41 






Marrl, 


G:> 


;t :!-'! :^i 


n 






April II'. 




1 1 


ii- 






Mar 1-'- l.'.l 


in 


III '-'-I 113 


i - 






m 


M 


.'i 200 1 1:1 


190 






July 1 'I 




171 








Auc 




:n 


-'7 11 






:'.ll 




i 19 


:tv!n 










4-1 160 


H9 






l r 


337 


4'.' I.V.I '.>-7 


40 








II 


nit :u:, 


-n 






In lliMcxtile Yean tubtract one day from the dale in the fin! two months. 



13 









TA 


BLE 


I II. Concluded. 






FOR THE ARGUMENTS. 


C. Variations of the Arguments for the different Days. The times are referred to the meridian of Washington. 


Days. 


I. 


II. 


III. 


IV. 


V. 


VI. 


VII. 


VIII. 


IX. 


X. 


XI. 


XII. XIII. 


















1 












o 


o 





























o o 


1 


359.92 


0.12 


0.21 


0.04 


0.49 


0.29 


0.3 


0.7 


0.5 


0.0 


0.8 


0.9 359.5 


2 


359.83 


0.24 


0.41 


0.08 


0.99 


0.58 


0.7 


1.4 


1.1 


359.9 


1.6 


1.8 359.1 


3 


359.75 


0.37 


0.62 


0.12 


1.48 


0.87 


1.0 


2.1 


1.6 ! 359.9 


2.3 


2.7 


358.6 


4 


359.67 


0.49 


0.82 


0.16 


1.98 


1.15 


1.3 


2.8 


2.1 359.8 


3.1 


3.6 


358.2 


5 359.53 


0.61 


1.03 


0.20 


2.47 


1.44 1.6 


3.5 2.7 359.8 


3.9 


4.5 


357.7 


6 35!).50 


0.73 


1.23 


0.24 


2.97 


1.73 2.0 


4.2 3.2 359.7 


4.7 


5.4 


357.3 


7 359.42 


0.86 


1.44 


0.28 


3.46 


2.02 2.3 


4.9 3.7 359.7- 


5.5 


6.3 


356.8 


8 


359.33 


0.98 


1.64 


0.32 


3.95 


2.31 : 2.6 5.6 4.3 359.6 


.6.3 


7.2 


356.4 


9 


359.25 


1.10 


1.85 


0.35 


4.45 


2.60 3.0 


6.3 


4.8 


359.6' 


7.0 


8.1 


355.9 


10 


359.17 


1.22 


2.06 


0.39 


4.94 


2.89 3.3 


7.0 


5.3 


359.6 


7.8 


9.0 


355.4 




























20 


358.34 


2.45 


4.11 


0.79 


9.89 


5.77 6.6 


14.0 


10.7 


359.1 


15.7 


18.1 


350.9 


30 


35751 


3.67 


6.17 


1.18 


14.83 


8.66 1 9.8 


21.0 


16.0 


358.7 


23.5 


27.2 


346.3 




XV. 














Days. 1 XIV. 


XVI. 


XVII. 


XVIII. 


XIX. 


XX. 


XXI. 


XXII. 


XXIII. 


XXIV. 


XXV. 




1 


o 

359 







o 





1 


o 

1 


o 

1 


O 
1 


o 

1 


o 





359 


o 

1 




1 


o 


2 


359 


359 


1 


1 


2 


2 


3 


2 





359 


2 


3 




1! 


358 


359 


1 


2 


4 


3 4 


3 





358 


3 


4 




4 358 


359 


2 


3 


5 


4 5 


4 1 


357 


4 


5 




.-> 357 


358 


2 


4 


6 


5 6 


6 1 


357 


5 


7 




13 357 


358 


3 


4 


7 


6 8 


7 1 


356 


6 


8 




7 356 


357 


3 


5 


8 


7 


9 


8 


1 


355 


7 


9 




8 356 


357 


4 


6 


10 


9 


10 


9 


1 


355 


8 


11 




9 355 


357 


4 


7 


11 


10 12 


10 


1 


354 


8 


12 




10 355 


356 


4 


7 


12 


11 13 


11 


2 


353 


9 


13 




20 340 


353 


9 


15 


24 


21 


26 


22 


3 


347 


19 


26 




30 344 


349 


13 


22 


36 


32 


38 


33 


5 


340 


28 


40 




1). Variations of the arguments for the different Hours. The times are referred to the meridian of Washington. 


Hours. I. 


II. 


III. 


IV. 


V. 


VI. 


VII. 


VIII. 


IX. 


X. 


XI. 

i 


XII. 


XIII. 


1 


0.00 


0.00 


0.01 


0.00 


0.02 




0.01 0.0 




0.0 




0.0 




0.0 


o 

0.0 


o 
0.0 


2 359.99 


0.1)1 


0.02 


0.00 


0.04 


0.02 0.0 


0.1 


0.0 


0.1 


0.1 


0.0 


3 


359.99 


0.01 


0.03 


0.00 


0.06 


0.04 0.0 


0.1 


0.1 


0.1 


0.1 359.9 : 


4 


359.99 


0.02 


0.03 


0.01 


0.08 


0.05 0.1 


O.I 


0.1 


0.1 


0.2 359.9 


5 


359.98 


0.02 


0.04 


0.01 


0.10 


0.06 0.1 


0.1 


0.1 





0.2 


0.2 359.9 


6 


359.98 


0.03 : 


0.05 


0.01 


0.12 1 


0.07 


0.1 


0.2 


0.1 


0.2 


0.2 : 359.9 


7 


359.98 


0.03 


0.06 


0.01 


0.14 


0.08 0.1 2 


0.2 


0.2 


0.3 ': 359.9 


8 


359.97 


0.04 


0.07 


0.01 


0-.16 


0.10 


0.1 


0.2 


0.2 





0.3 


0.3 ( 359.8 


9 


359.97 


0.04 


0.08 


0.01 


0.18 


0-11 


0.1 


0.3 


0.2 





0.3 


0.3 359.8 


10 


359.96 


0.05 


0.08 : 


0.02 ! 


0.21 


0.12 0.1 


0.3 0.2 





0.3 


0.4 


359.8 


20 1 359.93 


0.10 


0.17 


0.03 


0.41 ; 


0.24 0.3 0.6 0.4 


0.7 


0.8 359.6 



14 







TABLE IV. 






PERTURBATIONS OF 


THE CO-ORDINATES IN UNITS 


OF THE SIXTH DECIMAL. 






TV-ruin mnltijilifd with 1. Argument = 


M. 




Arg. 




Diff. 


f 


Diff. 


? Diff. 


Arg. 


t 


Diff. 


< 


Diff. 


{' Diff. 


e 












o 



















147 'Kl 




0.00 


I.', 


fit I '2 'M! 




-300.90 




+13 


1 




48.07 


417. -1 


4- 0.19 


4-1.04 


M 


817.90 


4- 4.94 




4- 5.97 


+0.68 


1 


M.I'.' 


8.06 


1 17.:,.; 


o. 




47 


;{._).> ,,.) 


4.82 


-'--.-7 


6.06 




3 


'-.'. 1 7 


8.05 


117. HP 


0.43 


-1 l.lll 


1- 


396,79 


4.70 


9H9.73 


6.14 


14.51 


4 




8.04 


||,; ;,| 


0.59 


1.03 


18 




4.58 




6.21 


0.64 ' 






8.03 


145.76 


0.75 




50 


336.78 


4.45 




6.39 




1 




8.01 


144.86 


0.90 


-,'.117 


51 


:uo.(H 


4.33 


Jll! -7 


6.36 


16.16 


7 


.-.l.'.'l 


7.99 




1.06 


1.03 


68 


344.98 


4.30 


.'",7. i:> 


i;. >; 


0.59 


8 




7.96 


41'.' .V.i 


1.91 




63 




4.08 




6.49 




9 


7n.ll 


7.94 


441.99 


1.37 


8.10 


M 


:{.v.'!:! l 


3.95 


944.40 


6.56 


16.74 






7.91 












Mi 




6.62 




10 










1.03 


.">."> 


:i:,c,.i:i 




_.)(- -^ 




0.54 


11 








4- 1.68 




66 


369.81 


+ 3.6S 


.,.,1 | 


f 6.68 




I5J 


03171 


7.83 






I.I-' 


67 




3.53 


294.38 


J.H 


1C.28 


13 


101. .14 


7.79 


4:!4.->.' 


1.98 


1.00 


:,- 


366.79 


3.43 




6.77 


0.50 


14 






rw.if.i 


9.13 




69 




3.S9 


210.78 


6.83 




15 


IUM 


' 


i-j '.-.' 


9.97 


R.19 




j-.j .,- 


3.17 




Ml 


16.78 


If, 




7.64 


l'.'7.l'i 


9.42 


0.99 


ill 


376.98 


3.03 


198.98 




0.4S 


17 




7.60 


i-j|.- : 


9.57 




88 


379.18 


2.91 


190.01 






18 




7.54 


199.19 


9.71 


0.11 


03 


381.96 


i.77 


183.01 


7.00 


17.-.':! 


l 


117. '.'I 




ir.i.-.v, 


. - 


0.97 


iil 


384.60 


2.64 


176.98 


7.03 








7.41 




3.00 








2.50 




7.07 


0.40 


90 


-l.M.i,-. 




-Hi;. -.'I', 






06 


4387.10 




-166.91 






t( 




4- ..35 


li:i.i:i 


4- 3.13 


7.08 


06 




4- 2.37 


161.80 


4- 7.11 


17.63 


H 




' 




3.27 


0.95 


09 


391.71 




164.67 


7.13 


0.35 


23 








3.41 




08 


fi't -i 


2.10 


147..VJ 


7.15 








7.14 

" Ml 




Ml 


8M 







1 .'.17 




7.17 


17.98 


27 
98 


Otl.40 


i,VV 

9M 
.90 


6.73 




3.64 
3.81 
3.94 
4.06 


0.99 


70 

71 
-2 

7:t 


400.89 

lii-.MU 


1.84 

1.70 
1..-.7 
1.41 


1 -'.V. II 

118.71 

111.47 


7.19 

JJU 

7.-JI 


0.29 

18,97 


: 


'.'l-.l:l 






4.19 


0.90 


7 1 


10343 


1.30 


104.99 


7JB 


0.25 






6.64 




4.39 








1.11 








30 
31 


.".'1.77 


4-6.il 
(.46 

M 




4- 4.44 
4.56 


0.87 


n 

77 


ioi.-i 
(06,86 
40C.77 


4- 1.05 
0.91 


- 9C.96 

-.1.711 


4- 7.26 


0.19 


33 
34 



37 

.- 


.Mill 
J7I.I.! 


6.96 
6.17 
6.06 

- 
1.74 


140.19 


. - 
4.79 
4.90 
S.OI 
5.11 

s.sa 

5.33 


in. 7'.' 

0.83 

11.. V. 

0.80 

i _>.:!:, 


7- 

n 

82 

-l 


108.91 

in-. 71 

109.11 
109.40 
M9.63 
108^84 


0.79 

0.53 
0.39 
0.27 
0.13 
4- 0.01 


76.18 
87.88 

r,:t.:t:> 
40.10 
38.85 
3149 


7.28 

tja 

7.26 

7.95 
7.23 


1-.7I 
0.14 

1-.-.-. 
0.08 

18,93 






5.O 




5.43 








0.11 




7.22 




41 

a 

43 

II 
1.1 


.'- -' 




ft. 18 
4- 5.06 


... : , 


4 5.59 
S.6I 
5.71 
S.80 
4- 5.*9 


0.76 

13.11 
40.79 


-,, 

-- 
-| 
90 


KNB%4I 
109.19 

in-.- 1 
108.36 


- 0.94 
0.36 
0.48 
0.61 
- 0.73 


- -j l.in 
10.09 

4- 4.'.'7 
4- 11.37 i 


4- 7.20 
7.18 
7.16 
7.13 
4- 7.10 


40.03 

I-.'.M; 
-0.09 

+18.94 



15 







TABLE IV. Continued. 


PERTURBATIONS OF THE CO-ORDINATES IN UNITS OF THE SIXTH DECIMAL. 






Terms multiplied with t. Argument = M. 


Arg. 


P 


Diff. 


* 


Diff. 


? 


Diff. 


Arg. 


f 


Diff. 


T,' Diff. 


v 


Diff. 
































90 


+407.01 




+ 11.37 




+18.94 




135 


+206.52 




+278.36 




+12.95 




91 


400.10 


- 0.85 


18.45 


+ 7.08 




-0.07 


136 


261.47 


-5.05 


282.00 +4 ' 30 


-0.7S 


92 


405.18 


0.98 


25.50 


7.05 






137 


250.36 5 ' U 


280.88 4 ' 22 








.10 




7.01 








*> 17 


4 12 




93 


404.08 




32.51 




18.87 




138 


251.19 


291.00 4 ' 


12.23 






.21 




6.98 








5 23 


4 03 




94 


402.87 




39.49 






0.12 


139 


245.90 


295.03 


0.75 


95 


401.54 


.33 


46.44 


6.95 






140 


240.08 5 ' 


298.97 


3.94 








.44 




6.92 








5 34 




3.86 




90 


400.10 




53.36 




18.75 




141 


235.34 i 


302.83 




11.48 






.56 




6.88 








5 40 




3.77 




97 


398.54 




60.24 






0.17. 


142 


229.94 


300.00 




0.77 


98 


396.87 


1.67 


67.08 


6.84 






143 


224.49 


5.45 


310.27 


3.67 








1.78 




6.81 










5.50 




3.59 




99 


395.09 




73.87 




18.58 




144 


218.99 




313.86 




10.71 






1.89 




6.75 










5.55 




3.50 




100 


+393.20 




+ 80.62 






0.23 


145 


+213.44 




+317.36 




0.80 


101 


391.19 


-2.01 


87.33 


+ 6.71 






140 


207.83 


5.61 


320.76 


+ 3.40 








2.11 




6.66 








5 65 




3.31 






102 


389.08 




93.99 




18.35 




147 


202.18 


324.07 




9.91 




103 


386.86 


2.22 


100.60 


6.61 




0.28 


148 


196.48 


S.70 


327.29 


3.22 


o.ea 


104 


384.53 


2.33 


107.16 


6.56 






149 


190.74 5 '' 4 


330.42 


3.13 










2.43 




6.50 








5 79 




3.04 






105 


382.10 




1 13.00 




18.07 




150 


184.95 I 


333.46 




9.09 








2.53 




6.45 








5 83 




2.94 






106 


379.57 




120.11 




0.32 


151 


179.12 


330.40 






0.85 


107 


376.93 


2.04 


126.51 


6.40 






152 


173.25 


5.87 


339.25 


3.85 








2.74 




6.34 










5.92 




o ?* 




106 


374.19 




132.85 




17.75 




153 


107.33 




342.00 " 


8.24 


109 


371.35 


2.84 


139.13 


6.28 




164 


161.37 


5.96 


344.05 


2.65 








2.95 




6.23 


0.37 






5.99 




2.56 




0.87 


110 


+368.40 




+145.36 






155 


+155.38 




+347.21 






111 


365.36 


- 3.05 


151.52 


+ 6.16 


17.38 


150 


149.36 


-6.02 


349.68 


+ 2.47 


7.37 








3.14 




6.10 






6 06 




2.37 






112 


302.21 




157.62 




0.41 


157 


143.30 


352.05 




0.88 






3.S4 




6,04 










O O7 






113 


358.97 




103.00 






156 


137.21 


354.32 ' 










3.32 




5.98 








fi 12 


O 17 






114 


355.05 




169.64 




16.97 




159 


131.09 ! 


356.49 ' 


6.49 








3.42 




5.91 










6.15 


2 07 






115 


352.23 




175.55 






0.45 


100 


124.94 




358.56 




0.90 






3.50 




5.85 










6.18 


1 98 






110 


348.73 




181.40 








161 


118.76 




360.54 






117 


345.13 


3.60 


187.17 


5.77 


10.52 




162 


112.56 


6.20 


362.42 1<88 


5.59 








3.68 




5.71 










fi.93 


1 78 






118 


341.45 




J 92.88 








163 


100.33 


364.20 










3.78 




5.64 








6 26 


1 68 






119 


337.07 




198.52 






0.50 


164 


100.07 


365.88 




0.91 






3.86 




5.56 






6.28 


1.59 






120 


+333.81 




+204.08 




10.02 




105 


+ 93.79 


+307.47 




4.68 






3.95 




+ 5.49 






i fi an 




+ 1.49 




121 


329.86 




209.57 




0.54 


166 


87.49 




366.96 




0.92 






4.03 




5.42 








6.32 




1.39 






122 


325.83 




214.99 






107 


81.17 




370.35 












4.12 




5.35 








6.34 




1.29 






123 


321.71 




220.34 




15.48 


168 


74.83 




371.04 




3.76 








4.19 




5.27 








6.36 




1.19 






124 


317.52 




225.01 






0.57 


169 


68.47 




372.83 






0.93 






4.28 




5.19 










6.37 


1 ii-; 






125 


313.24 




230.80 






170 


02.10 




373.91 








120 


308.89 


4.35 


235.92 


5.12 


14.91 


171 


r- ~i 6 ' 39 
' 


374.90 


0.99 


2.83 








4.42 




5.04 












0.89 






127 


304.47 




240'.96 






0.62 


172 


49.31 


375.79 






0.94 






4.49 




4.96 








6 41 




0.78 






128 


299.98 




245.95 








173 


42.90 


370.57 












4.57 




4.88 








6 43 








129 


295.41 




250.80 




14.29 




174 


!" ' !*" 

30.4 / 


377.26 


1.89 








4.64 




4.80 








6.44 


0.59 






130 


+290.77 




+255.00 






0.65 


175 


+ 30.03 




+377.86 




0.94 


131 


280.06 


- 4.71 


200.31 


+ 4.71 






176 


23.58 


- 6.45 


34 i + ' 49 










4.78 




4.64 










G. l.~> 


1Q 






132 


981.28 




204.95 




13.04 




177 


17.13 




378.73 9 


+ 0.95 








4.85 












6.46 


29 






133 


276.43 




209.50 




-0.69 


178 


10.67 




379.05 




0.95 


134 


271.51 


4.92 


273.97 


4.47 




179 


+ 4.21 


6.46 


379.20! ' 18 










4.99 




+ 4.39 












135 


+266.52 




+278.36 




+12.95 


180 


- 2.25 i " 


+379.29 


0.00 



16 



TABLE IV. Continued. 


I'KKiTKUATIoNS OF Till: CIM. lililXATKS IN 1XITS 


OK 'I'lIK SIXTH DKC1MAI.. 




Ternn inultijilicit with t. Argiinn-iit = 


.V. 




Arg. 


i Our 


* 


11, If. 


Diir. 


Arg. 




Diir. 


"' 


Diir. 


Ditr. 


o 










o 












180 


- - 


-f ^T'.'.'.':' 




0.00 ' 




979.87 




+2d0.37 




i _'.. >.-, 


1-1 


" 




-0.03 


i -0.95 


896 


977.99 


-5.05 


976.99 




-0.69 




I.VI7 '" 




0.13 




.'.'7 


939.90 


4.98 


971.59 


1.41 










,, 












4.55 




i-t 


91.63 


378.93 




- O.'.i:, 


998 






986.97 




13.64 


l-l 


0.46 


878.61 


u.:n 


0.94 


-'J.i 


939.07 






144 










0.4:1 






897.46 




j:>7 i;i 


1.7S 




i-<; 


6.45 


877.66 


0.53 


1.- 1 


931 


809.17 


4.71 


959.81 


4.80 


1 l.-> i 


187 


17.11 


877.04 


0.63 


0.94 


-' ;,' 




4.64 


947.99 


4.89 




188 




:i7ii.-ti 


0.73 




.) j;j 


:tn.:ts 




348.95 


I.T. 




189 






0.83 


'.'.-I 


-'.'.4 


316.87 


4.H 






14.01 




6.41 




0.93 








4.41 




8.13 




190 


-Tit 






0.93 


' !"> 


-390.98 




-"'!' 77 






I'M 


7:1.11. -* 


:!7:i..v> 


- 1.03 






894.61 


-4.33 


'; :.:> 


- Ml 






6.39 


:IT-.'.I-.' 


.11 


:i :; 


987 




4.96 


999.98 




15.48 




6.37 




.33 








4.17 




.*..;i ; 




194 


" 




.33 


0.93 


936 

j 19 


333.04 


4.10 


916.89 

,' ll.ll 


8.49 


0.54 




6.33 




. 




940 


:t i u .-i 


4.01 






16.09 




mi.-i *' 30 


:!r,ii.:u 


.53 


0.91 


941 


;{(.- |,7 


:i. '.<-.' 


990.39 


5.60 


0.50 




iii.i-j *" 




.63 




949 


3&9I 


3.84 


196.63 


5.67 










.73 








3.75 




."..7 1 




198 


1 1 * .:'.* 


itoi'i..-,! 






943 


359.66 




188.91 




n ;.:>.' 




193.64 


861.71 


.63 




.Ml 


:t.^;.:i-j 


3.66 


183.10 








6.93 




1.99 


0.90 






:I.;,T 




:..-'! 


ii. i:. 


800 










846 


-360^9 




+ 177.-.'! 






881 


6.19 




9.03 


6.49 


946 




-3.48 






n; '17 


1 .' 




3fi6.66 


3.13 






\ Wt -- - 


3.38 


hi.-..-.'l 


i;.nj 


ii. n 


- ; 


i !-.:r, '" 








948 


:!7n D.I 


Ml 


159.16 


6.09 




884 

. : 


i-.i.n. '" 

6.07 
6.04 


851.19 


3.31 
9.41 

9.61 


7.87 

0.87 

-.'.'I 


24!) 
950 
951 


376.3S 
379.31 


3.19 
3.09 
3.99 
9.90 


153.00 

1 IH..-.1 

134.17 


(i.i:. 
5.91 

i, _- 
6.34 


17.38 

0.37 

IT.T:. 


."- 


17- 

l-l : 




9.71 




963 

J.M 


384.93 


9.78 


197.78 


6.39 
0.45 


0.39 




i 




9.90 








3.58 




C.5I 




.'II 
819 
818 


IT 

1:1 '- M 


816.74 
819.16 

''< '.-.' 


-3.00 
3.09 
3.19 
3.98 

1.48 
Ml 

- 


0.83 

9.91 

0.80 

10.71 


966 

889 
861 


399.79 
396.09 

899.48 
4014H 
403.44 
106.98 


- >. i; 
Ml 

3.14 
9.04 
1.93 
1.81 
1.69 


II t.--> 
108:96 

I'M. i.l 

94.97 
98.96 
81.48 
: 1.66 


Ml 

6.77 
6.83 
6.86 
6.91 


18.07 

0.38 

is.:!.-, 

0.33 

18.581 

0.17 




Ml 






n. I- 


884 




1.58 


68.94 


6.95 


18.76 




5.41 




i 


0.75 






1.46 




. n 




8M 

.-.-. 


71 

-"" 




.- i 17 


-3.93 
4.03 
4.11 

H.'.'l 
-4.99 


-0.79 

-19.95 


888 

,v.r, 

970 


419.56 
118.66 
414.64 

-II. -,.:, I 


- 1.35 
1.93 
1.11 
0.98 
-0.87 


f iii.'.i:, 
39.93 

18.66 
+ 11.51 


o.w 

-7.09 
7.06 
7.09 

-7.15 


0.19 

i- -; 

-0.07 



17 




KUlfiyEHsiTyj 


TABLE IV. Continued. ^^FJ^^^ 


PERTURBATIONS OF THE CO-ORDINATES IN UNITS OF THE SIXTH DECIMAL. 


Terms multiplied with t. Argument = M. 


Arg. 


cl 


Diff. 


'/ 


Diff. 


P 


Diff. 


Arg. 


tt 

3 


Diff. 


'/ 


Diff. 


? Diff. 


o 

























270 


-415.51 




+ 11.51 




- 18.94 




315 


-318.07 




-303.11 




- 13.83 


271 


416.25 


- 0.74 


+ 4.33 


-7.18 




-0.02 


316 


313.53 


+ 5.14 


309.00 


-5.89 


+ 0.72 






0.61 




7.21 










5.26 




5.81 




272 


416.86 




- 2.88 








317 


308.27 




314.81 






273 


417.34 


0.48 


10.11 


7.23 


18.90 




318 


302.89 


5.38 


320.52 


5.71 


13.11 


274 


417.70 


0.36 


17.36 


7.25 




+ 0.03 


319 


297.40 


5.49 


320.13 


5.61 


0.76 


275 


417.94 


0.24 


24.63 


7.27 






320 


291.80 


5.60 


331.65 


5.52 








0.10 




7.29 










5.71 




5.41 




276 


418.04 




31.92 




18.93 




321 


280.09 




337.06 




12.35 


277 


418.02 


+ 0.02 


39.22 


. 7.30 




0.08. 


322 


280.27 


5.S2 


342.37 


5.31 


0.80 






0.16 




7.32 










5.93 




5.21 




278 


417.86 




46.54 








323 


274.34 




347.58 










0.28 




7.33 










6.03 




5.10 




279 


417.58 




53.87 




18.85 




324 


268.31 




352.68 




11.55 






0.42 




7.33 










6.13 




4.98 




280 


^417.16 




- 61.20 






0.14 


325 


-202.18 




-357.66 




0.83 


281 


416.62 


+ 0.54 


68.54 


-7.34 






326 


255.94 


+ 6.24 


302.54 


4.88 








0.68 




7.35 










6.34 




4.76 




282 


415.94 




75.89 




18.71 




327 


249.00 




367.30 




10.72 


283 


415.13 


0.81 


83.23 


7.34 






328 


243.17 


6.43 


371.94 


4.64 


0.87 


284 


414.19 


0.94 


90.58 


7.35 




0.19 


329 


236.64 


6.53 


370.47 


4.53 








.08 




7.33 










6.63 




4.41 




285 


413.11 




97.91 




18.52 




330 


230.01 




380.88 




9.85 






.21 




7.32 










6.72 




4.28 




286 


411.90 




105.23 




m 




331 


223.29 




385.16 




0.90 






.35 




7.33 








6.81 




4.15 




287 


410.55 




112.56 




0.95 


332 


216.48 




389.31 










.48 




7.31 


I 






6.88 




4.02 




288 


409.07 




119.87 




18.27 


333 


209.60 




393.33 




8.95 


289 


407.45 


.62 


127.16 


7.29 




334 


202.03 


6.97 


397.22 


3.89 








1.75 




7.28 


0.29 




7,05 




3.77 


0.92 


290 


-405.70 




-134.44 






335 


-195.58 




-400.99 






291 


403.81 


+ 1.89 


141.70 


-7.26 


17.98 


336 


188.40 


+ 7.12 


404.02 


- 3.63 


8.03 


292 


401.79 


2.02 


148.94 


7.24 


0.35 


337 


181.20 


7.20 


408.11 


3.49 


0.95 






2.15 




7.2*2 








7.27 




3.36 




293 


399.64 




156.16 






338 


173.99 




411.47 






294 


397.35 


2.29 


163.34 7 ' 8 


17.03 


339 


106.65 


7.34 


414.08 


3.21 


7.08 


235 


394.93 


2.42 


170.49 5 




0.40 


340 


159.25 


6.40 


417.75 


3.07 


0.97 


296 


392.37 


2.56 


177.62 






341 


151.78 


7.47 


420.09 


2.94 




297 


389.07 


2.70 


184.71 


17.23 




342 


144.24 


7.54 


' 423.48 


2.79 


0.11 


298 


386.84 


2.83 


191.76 I'" 5 


1 


343 


136.65 


7.59 


426.12 S ' 64 


0.99 i 


299 


383.88 


2.96 


198.77 '' OI 




0.45 


344 


129.00 


7.65 


428.62 


2.50 






; 3.09 


C.97 








7.63 




2.36 




300 


-380.79 




-205.74 


16.78 


I!!') 


-121.31 


-430.98 


5.12 


301 


377.56 


+ 3.23 


212.66 ~ 6 ' 92 


0.50 


340 


113.58 + 7 ' 73 


O Ol 

433.19 


1.00 






3.37 


fi 87 








7 7ft 


on, 




302- 


374.19 


o rA 


219.53 




. 


347 


105.80 


435.24 "" 




303 


370.69 


J.OU 


220.35 8 ~* 


10.28 


348 


97.97 7 ' 83 


437.14 1-90 


4.18 


304 


367.06 


3.63 


233.11 


0.54 


349 


90.11 7-SG 


438.89 


1.75 


1.02 


305 


303.30 


3.76 


239.81 




350 


82.21 7 ' 9 


440.49 


1.60 




300 


359.41 


3.89 


240.40 ' 6J 


15.74 


351 


74.28 , '' 93 


441.93 M ' 








4.02 


fi r >8 






- Qfi 






307 


355.39 




253.04 6 '" 8 


0.59 


353 


66.32 i " 96 


443.22 i Ka9 


1.03 


308 


351.21 


4.15 


259.55 6 " r>1 




353 


- qo 

58.33 


444.:;,; l A g l 




309 


346.90 *'" 


200.00 i C - 45 


15.15 


354 


50.33 8 ' 00 




2.07 




4.40 


6.37 






8.02 


0.82 




310 


-342.50 ; 


-272.37 ; 


0.64 


355 


- 42.31 


-446.18 


1.03 


311 


338.03 i + 


278.08 i ~ 6 ' 31 




350 


34.27 ; + S ' 4 


440.83 -' C7 




312 


333.38 ! *'" 


284.91 


11.51 


357 


26.21 i 8 ' 6 


447.31 


1.0-1 


313 


328.00! 4 '' 8 

1 Ml 


291.00 j 6 ' 15 


+ 0.68 


358 


18.15 


447.09 i 


+ 1.04 


314 


323.69 




297.13 B ' 7 




359 


10.08 i 8 ' ? 


447.89 ' 2 




315 


-318.67 


+ 5.02 


-303.11 


- 13.83 


300 


- 2.01 


-447.93 - ' 04 


0.00 i 



II- 



18 



TABLE IV .Continued. 


I'KHTI KI'.ATIONS OF THE CO-ORDINATES IN UNITS OF THE SIXTH DECIMAL. 


ARGUMENT I. 


Ar,. 


' 


Diff 





nr. 


C 1 


Diff. 


Arg. 


f 


Diff. 


/ 


Diff. 


f 


Diff. 


o 














o 
















1 




- 7 




+10 


+ n 




45 
46 


+603 

etc 


+13 


+ 74 
63 


-is 


+ 10 




8 


us 


5 




1 






47 


089 


13 


48 


14 






3 


214 


43 


10 


11 




48 


649 


13 


34 


14 


10 




4 


210 


33 


,0 






49 


i .1 


13 


19 


15 








881 




11 






50 


665 


11 


+ 3 


16 









1 . 


V 


U 


10 


11 




51 


678 


11 


- 14 


17 


10 




7 


1 i 


1 


- 1 


11 






52 


687 


11 


31 


17 






8 


203 


1 


+ 10 


11 






53 


G97 


10 


49 


18 






9 


804 


+ 1 


20 


n 




54 


706 


9 


67 


18 


10 








1 


n 










8 




19 






10 


+205 




+ 31 






66 


+714 




+ 86 








11 


207 


f a 


41 


+10 






56 


728 


+ 8 


106 


-20 






U 


310 


3 


68 


11 


11 




57 


729 


7 


126 


20 


10 




13 


213 


3 


n 


10 






58 


735 


6 


147 


21 






14 


BU 


I 


78 


10 






59 


740 


5 


168 






15 


223 


1 


81 


9 


10 




60 


7-ir> 


5 


189 


21 


10 




16 







91 


10 






61 


74'J 


4 


211 


22 






17 


.' : . 


7 


100 


9 






62 


768 


3 


233 


23 






1- 


244 


8 


lu- 


8 


10 




63 


7.M 


2 


856 


23 


10 




19 


888 


8 


ll! 


8 






64 


755 


+ 1 


278 


22 










9 




7 















23 






30 


+261 




+123 








65 


+7.V> 




-301 








21 


271 




130 


+ 7 


10 




66 


7.M 


- 1 


384 


-23 


9 




22 


381 


10 


137 


7 






67 


753 


1 


348 


94 






33 


., ,.: 


11 


143 


C 






68 


750 


3 




23 






24 


:. '. 


1 1 


148 


& 


10 




69 


74G 


4 


804 


2:1 


9 




88 


Hf 




188 


4 






70 


7 I'.' 


4 


417 


23 






26 


328 


13 
13 


186 


4 






71 


737 


5 


111 


24 






37 


:: 1 1 




159 


3 


10 




72 


731 


6 


23 


8 




-'- 





162 


3 






73 ' 


7-.M 


7 


y - 23 






." 


:: - 


11 


161 


1 






71 


716 


8 


510 










M 




+ 1 










9 


22 






30 

31 


08 
396 


+ H 
IP 


+164 
164 





11 




7.-, 
76 


+707 
G97 


-10 


-5H3 
566 


-S3 


8 




32 


411 


i.i 

u 




1 






.77 


687 


10 


r.77 


22 










168 


1 


11 




78 


676 


11 


609 


... 


7 










3 








663 


13 




21 








4.V, 

i 




3 






90 


650 


13 


en 


H 








16 




4 


11 




81 




14 


668 


21 


7 




37 


i , 


147 








-. 




14 




20 






'- 


i - 


Ml 


6 






83 


GOG 


M 


702 


90 











1 .1 


7 


10 




84 


590 


16 


7'JI 


10 


6 






15 




M 










17 




19 






40 




+ 1 <, 








-t :,7:t 




-711) 








41 


| * 


117 


9 






fkV. 


-17 




-18 






I ; 






9 
in 


10 




87 




18 


77T, 


17 


f, 






14 


- 


lo 






88 


519 


: i 


709 


17 






44 

45 


-.'' 


H 
+ 74 


-U 


+ 10 




89 
90 


500 

* l-i 


It 
-90 


808 
-.'1 


16 
-16 


+ 5 





19 



TABLE IV. Continued. 


PERTURBATIONS OF THE CO-ORDINATES IN UNITS 


OF THE SIXTH DECIMAL. 




ARGUMENT I. 






Arg. 


el 


Diff. 


,/ 


Diff. 


f ' 


Diff. 


Arg. 


f 


Diff. 


5' 


Diff. 


' 


Diff. 


o 





























90 
91 


+480 
460 


-20 


-824 
838 


-14 


+ 5 


135 
136 


-484 
499 


-15 


-782 
769 


+13 


-7 








21 




14 










]4 




13 






92 


439 




852 








137 


513 


ia 


756 


11 






93 


418 


21 


866 


14 


4 




138 


526 


lo 


743 


Jo 


8 








22 




13 










13 




14 






94 


396 




879 








139 


539 




729 












oo 




12 










13 




14 






95 


374 




891 








140 


552 




715 








96 


351 


23 


902 


11 


3 




141 


564 


12 


702 


13 


<) 








23 




10 










11 




14 






97 


328 




912 








142 


575 




688 








98 


305 


23 


921 


9 






143 


586 


11 


674 


14 










23 














j [ 




14 






99 


282 




930 




3 




144 


597 




660 




9 








24 




8 










10 




14 






100 
101 


+258 
234 


-24 


-938 
945 


- 7 




145 
146 


-607 
617 


-10 


-646 
C32 


+14 






102 


210 


24 


952 


7 


2 


147 


626 


9 


618 


14 


10 




103 


186 


24 


957 


5 






148 


635 


9 


604 


14 










24 




5 










9 




14 






104 


162 




962 








149 


644 




590 












24 




4 










g 




14 






105 


138 




966 




+ 1 


150 


C52 




576 




10 








24 




3 








Q 




14 






106 


114 




969 






151 


660 




562 












25 




3 








7 




14 






107 


89 




972 








152 


667 




5-48 












24 




i 










7 




14 






108 


65 




973 


* 







153 


674 




534 




11 




109 


41 


24 


974 


- 1 






154 


681 


7 


520 


14 








24 















7 




13 




110 


+ 17 




-974 






155 


-688 




-507 












24 




Q 








6 




+14 






111 


- 7 




974 




-1 




156 


694 




493 




12 








24 




+ 1 










6 




13 






112 


31 




973 






157 


700 




480 












23 




2 








g 




14 






113 


54 




971 






158 


706 




466 








114 


77 


23 


968 


3 


1 




159 


711 


5 


453 


13 


12 




115 


100 


23 


964 


4 






160 


716 


5 


440 


13 




116 


123 


23 


960 


4 




161 


721 


5 


427 


13 




117 


146 


23 


955 


5 




1C2 


72G 


5 


414 


13 


13 


118 


168 


950 


5 


2 


163 


730 


4 


401 


13 






22 




g 








4 




12 




119 


190 


944 






161 


734 




389 








22 




7 








5 




13 




120 


-212 


-937 




3 


165 


-739 




-376 




13 


121 


233 " 


930 


+ 7 




166 


743 


: ~ 4 


364 


+12 






122 


254 


922 


8 






167 


746 


3 


352 


12 




123 


. 274 


914 


8 


4 


168 


750 


* 


340 


12 


J3 


124 


294 


~u 


905 


9 




169 


754 


4 


328 


12 




125 


314 


20 


896 


9 




170 


758 


4 


316 


12 








19 




10 








Q 




12 






126 


333 




886 




5 


171 


761 




304 




14 








19 




in 








Q 




12 






127 


352 




876 


i 




172 


764 




292 






128 


370 


18 


865 


11 




173 


768 


4 


280 


12 




129 


388 


854 


11 


6 


174 


771 


3 


269 


11 


14 






17 




11 








3 




12 




130 


-405 




-843 




. 


175 


-774 




-257 






131 


422 


17 


831 


+12 




176 


778 


-4 


246 


+11 






132 


438 


1U 


819 


12 


6 


177 


781 


3 


234 


12 


14 




133 


454 


If 


807 


12 




178 


784 


3 


223 


11 






134 


469 


15 


795 


12 






179 


787 


3 


212 


11 






135 


-484 


- 15 


-782 


+13 


-7 




180 


-790 


-3 


-200 


+12 


-14 





20 



TABLE I V. Continued. 


PERTURBATIONS OF THE CO-ORDINATES IN UNITS OF THE SIXTH DECIMAL. 


ARGUMENT I. 


Ar. 


f 


Diff. 





Diff. 


f 


Diff. 


Arg. 


f 


Diff. 


* 


Diff. 


c* 


Diff. 


e 














o 












1- 

181 


-790 
7U3 


-3 


-200 

i- > 


+11 


-14 




225 

HI 


-839 

- .;.: 


+ 6 


+466 

484 


+19 


-13 




M 


796 


3 


178 


ll 






H7 




6 


504 


90 






183 


799 


3 


166 


13 


15 




Ml 


820 


7 


524 


90 


13 




184 




3 


IM 


11 






m 


812 


8 




20 






Iff 


805 


3 


143 


19 






230 


804 


8 


564 


90 






\-\ 




4 


132 


11 


U 




',':il 


795 


9 


584 


20 


12 




187 


Ml 


3 


120 


19 






:>: 


786 


9 


604 


90 






I-- 


815 


3 


109 


11 






233 


776 


10 




19 






189 


818 


3 


97 


19 


15 




IM 


765 


11 


643 


90 


12 








3 




19 










11 




90 






190 
191 


--.'I 

M 


-3 


- 85 
73 


+19 






235 
236 


-754 
742 


+12 


+663 
683 


+20 






r.2 


-J7 


3 


Cl 


19 


15 




237 


729 


13 


702 


19 


n 




193 


830 




49 


19 






238 


716 


13 


rai 


20 






194 


633 




36 


13 






239 


702 


14 


741 


19 










3 


24 


19 


15 




240 


687 


IS 


760 


19 


10 




196 


- : i 




- 11 


13 






Ml 


672 


15 


779 


19 




197 


842 


3 


+ 2 


13 






242 


G5G 


16 


797 


18 






198 


Mi 


3 


16 


14 


15 




Ml 




17 


815 


,8 


10 




199 


847 




89 








Jii 


V 


17 


833 


18 










3 




14 










18 




18 






200 
201 

Ml 
j i 


-850 
Ml 
MI 

-,.., 


-3 

9 
3 
9 


+ 43 
57 
71 


+14 
14 
14 
14 


15 
15 




245 

Ml 

JI7 

Ml 

Ml 


-604 
585 
565 
545 
Ml 


+19 
90 
90 
90 


+851 
863 
-1 
900 
916 


+17 
16 
16 
16 


9 

a 






M 




IM 








503 


99 


:i:u 


15. 






1 : 


-.., 


-J 

1 


130 ; 

145 '* 
161 


15 




Ml 

m 


481 

459 
4:!0 


99 
93 


946 
960 


15 
14 
13 


7 




- 


- : 




177 






.-.-.I 


412 


94 




n 






210 

211 


-, , 


1 
-1 


1C 

; +' 


15 




Ml 


-388 

303 


94 


fin-* 

lllll'.l 


is 

+ 19 


6 




212 


-,,, 














9i 


1019 


10 








-.,, 






U 




Ml 




96 


in-.".) 


10 


5 




.II 


-.' 


41 











HI 





1036 


9 








- : 


1 
1 


Ml 


14 




M ' 

m 




97 
97 


1040 


8 

7 


4 




'.'17 


Ml 














97 


7 








- i 


i 


tii " 








178 


27 


1000 

HIM; " 














19 


14 




,-t.i 


150 





1071 


3 








3 




It 




















M 

n 

M 


-j 

-,. 
Ml 


43 

4 
4 


. M 


1* 

. 


14 




M 
Ml 


-122 

M 


+99 


+ 1(174 
1(177 
I07H 


3 

+ 3 
9 


2 




M 


-i- 
-ii 


4 
44 




Iff 

. . , 








.- 8 


..., 


ton 

1081 






1 







. ! . 

-^^ _^^____ 


- 


-13 




270 


+ 21 


+99 




- 1 


- 1 





21 



TABLE IV. Continued. 


PERTURBATIONS OF THE CO-ORDINATES IN UNITS OF THE SIXTH DECIMAL. 


ARGUMENT I. 


Arg. 


b 


Diff. 


,/ 


Diff. 


f 


Diff. 


Arg. 


f 


Diff. 


,/ 


Diff. 


* 


Diff. 




\ 
























O 














o 














270 


+ 31 




+1080 




- 1 




315 


+778 




+259 




+10 




271 


50 +3U 


io/a 


- 2 






316 


" 774 


4 


235 


-24 










29 




3 










5 




23 






272 


79 




1075 








317 


769 




212 








273 


107 


28 


1071 


4 







318 


764 


5 


189 


23 


10 








29 




5 










7 




23 






274 


136 




1066 








319 


757 




166 












28 




5 










7 




22 






275 


164 




1061 








320 


750 




144 












29 




7 










g 




21 






276 


193 




1054 




+ 1 




321 


742 




123 




10 








28 




g 










g 




SI 






277 


221 




1046 








322 


733 




102 












28 














10 




20 






278 


249 




1038 


' 






323 


723 




82 












27 




10 










10 




19 






279 


276 




1028 




2 




324 


713 




63 




11 








27 




11 










11 




19 






280 


+303 




+1017 








325 


+702 




$ 44 








281 


330 


+27 


1006 


-11 






326 


690 


-12 


26 


-18 










26 




]3 










12 




17 






282 


356 




-993 




3 




327 


678 




+ 9 




11 








26 




13 










13 




16 






283 


382 




980 








328 


665 




- 7 












25 




14 










14 




16 






284 


407 




966 








329 


651 




23 












25 




15 










14 




14 






285 


432 




951 




4 




330 


637 




37 




11 








24 




16 










14 




14 






286 


456 




935 








331 


623 




51 












24 




17 










15 




13 






287 


480 




918 








332 


608 




64 












23 




18 










15 




12 






288 


503 




900 




4 




333 


593 




76 




11 








OQ 




18 










15 




11 






289 


525 


882 








334 


578 




87 












21 




19 










16 




10 






290 


+546 




+ 863 








335 


+562 




- 97 








291 


567 


+21 


843 


-20 


5 




336 


547 


15 


106 


9 


11 








20 




21 










16 




g 






292 


587 




822 








337 


531 




114 












19 




21 










16 




8 






293 


606 




801 








338 


515 




122 












18 




22 










16 




6 






294 


624 




779 




6 




339 


499 




128 




11 








17 




22 










16 




6 






295 


641 




757 








340 


483 




134 












17 




23 










16 




4 






296 


658 




734 








341 


467 




138 












15 




23 










16 




4 






2i>7 


673 




711 




7 




342 


451 




142 




11 


* 






14 




24 










16 




3 






298 


687 




687 








343 


435 




145 








299 


701 


14 


663 


24 






344 


419 


16 


146 


1 










13 




24 










15 




- 1 






300 


+714 




+639 




. , 7 




345 


+404 




+147 




11 




301 


725 


+ 11 


614- 


-25 






. 346 


389 


-15 


147 













11 




26 










15 




+ 1 






302 


736 




588 








347 


374 




146 








303 


745 


9 

g 


563 


25 
25 


8 




348 


360 


14 
14 


145 


1 
3 


11 




304 


753 




538 








349 


346 




142 








305 


761 


8 


512 


20 






350 


333 


13 


139 


3 










c 




26 










13 




4 






306 


767 j 


486 




9 




351 


320 




135 




11 




307 


772 


5 
5 


460 


26 
25 






352 


307 


13 
12 


130 


5 
5 






308 


777 




435 








353 


295 




125 








309 


780 


3 


409 


26 


9 




354 


284 


11 


119 


6 


11 








2 




25 










11 




7 






310 
311 


+782 
783 


.+ 1 


+384 
35S 


-26 






355 
356 


+273 
263 


-10 


-112 
105 


+ 7 






312 


783 





. 333 


25 


10 




357 


254 


9 


98 




11 




313 


783 





308 


25 






358 


246 


8 


90 


8 






314 


781 


- 2 


283 


25 






359 


238 


8 


81 


9 






315 


+778 


- 3 


+259 


-24 


+10 




360 


+231 


7 


- 72 


+ 9 


+u 





22 





TABLE 


I V . Co n tinned. 


PERTURBATIONS OF 


THE CO-ORDINATES IN UNITS OF THE SIXTH DECIMAL. 


AR(.i Mi:vr n. 


Arg 


f 


Diff. 




Diff. 


P 


Diff. 


Arg. 




Diff 


n' 


Diff 


C 


Diff. 


o 














o 















1 


-" 
856 


- 


-360 
344 


+18 


+39 




45 
46 


-850 
844 


+ 6 


+397 
413 


+16 


+26 




B 


- .- 


8 


337 


17 






47 


837 


7 


428 


H 






1 


868 





311 


18 


29 




48 


830 


7 


4-12 


14 


M 




4 


873 


5 


BM 


17 






49 


823 


7 


457 


15 






5 


878 


A 


V77 


17 






50 


815 


8 


471 


14 






6 




5 


MO 


17 


30 




r.i 


808 


7 


486 


15 






7 


887 




Jl:l 


17 








800 


8 


500 


14 






8 


891 


4 


MO 


17 






53 


791 


9 


ol-l 


14 






1 




4 


309 


17 


30 




M 


783 


8 




13 


22 






4 




17 










9 




14 




10 
11 


903 


-Ul 

17:, 


+17 






55 
50 


-77-1 
703 


+ 9 


+541 


+13 






u 

13 


906 
909 




3 


158 
140 


17 

18 


31 




57 

58 


750 
747 


9 
9 


507 
580 


13 
13 


21 




14 


911 




133 


17 






59 


737 


10 


603 


13 






II 

16 


913 
915 





105 

88 


18 
17 


31 




GO 
01 


7 -.'7 
717 


10 

10 


605 
017 


13 
13 


19 




17 


917 


. 


71 


17 




* 


02 


707 


10 




13 






18 
19 


930 


i 


53 

30 


18 
17 


31 




63 
04 


686 


10 

11 


041 

an 


13 
11 


18 




80 

n 

23 
34 


+931 
931 
BM 


i 



-1 



+1 




- J8 

- 1 
+ 16 

j 

68 


18 

+17 
17 
18 
17 
17 


31 
31 




M 
M 

n 


-G75 
664 

an 

641 

629 
617 


11 

+11 
11 

13 
13 
13 


+063 

C7I 

086 

706 


11 

+11 
11 
11 
10 
10 


1C 
1C 



87 

21 


MB 
BIB 


1 
1 


86 1 

120 
1:17 


18 

17 
17 


30 




71 

7:: 
74 


:.-! 
BM 


13 
19 
13 
13 


796 

7ir, 

754 


10 
9 
10 
9 


13 






1 




17 


















30 


-Ml 




+ IM 








0. - 


... 


13 




.- 




: 
34 


BM 

:".-. 
. 


+8 
3 
3 
1 


171 

IM 
MB 


+17 
17 
17 
17 


39 





M 

7 - 


BM 
BU 


+ 13 
13 
U 

13 


771 

7-7 


+ 9 
8 
8 


12 
10 




. 
I 


-., 

... 




18 






- ) 


i- i 


14 
14 


796 


; 






37 


4 




18 


' 




- 1 


17.> 


J4 






- 






6 




16 






M 


Ml 




BIO 









' 


1 




18 
16 






-i 


-117 

CM 


M 
14 




7 
6 


7 




40 


-:- 


+'iri 












14 




6 




41 
43 
43 


-,.- 


+5 
i 
1 


n 

:u,7 


16 
16 


27 




87 


-419 

405 

BM 


+14 

U 
II 


.-n 

-17 


+ 6 
6 




" 




* 


M 


11 








:i7.i 


14 




j 




43 


_ 








+96 > 

. 


- 


*' 1 


1 


414 


'-I.I 


+ 4 


+ 4 







23 



TABLE IN. Continued. 


PERTURBATIONS OF THE CO-ORDINATES IN UNITS OF THE SIXTH DECIMAL. 


ARGUMENT II. 


Arg. 


' 


Diff. 


I 1 


Diff. 


* 


Diff. 


Arg. 


f 


Diff. 


i' 


Diff. 


* 


Diff. 


O 














O 














90 


-346 




+861 




+ 4 




135 


+356 




+802 




-12 




91 


331 


+15 


866 


+5 






136 


371 


+15 


795 


+ 7 










15 




4 










14 




7 






92 


316 




870 








137 


385 




788 












15 




4 










14 




7 






93 


301 




874 




2 




138 


399 




781 




13 




94 


285 


16 


878 


4 






139 


414 


15 


774 


7 










15 




3 










14 




g 






95 


270 




881 








140 


428 




766 












15 




3 










14 




g 






96 


255 




884 




+ 1 




141 


442 




758 




14 




97 


239 


16 


887 


3 







142 


456 


14 


750 


8 








15 




2 










13 




g 






98 


224 


889 








143 


469 




742 










1A 




2 










14 




g 






99 


208 




891 




- 1 




144 


483 




734 




U 








16 




2 










13 




9 






100 


-192 




+893 








145 


+496 




+725 








101 


177 


+15 


895 


+2 






146 


510 


+14 


717 


- 8 










16 




2 










13 




9 






102 


161 




897 




2 




147 


523 




708 




14 




103 


145 


16 


898 


1 






148 


536 


13 


699 


9 










IG 




1 










12 




10 






104 


129 




899 









149 


548 




689 












16 


a 








13 




9 






105 


113 




899 




3 




150 


561 


680 




15 




106 


97 


16 


900 


+1 






151 


573 


12 


670 


10 










1 R 




o 










13 




9 






107 


81 


JO 


900 








152 


586 




661 












15 




i 










12 




10 






108 


66 




899 




4 




153 


598 




651 




15 








16 




o 










12 




10 






109 


50 




899 








154 


610 




641 












16 




l 










12 




11 






110 


- 34 




898 








155 


+622 




+630 








111 


18 


+16 


897 


-i 


6 




156 


633 


+11 


620 


-10 


16 








16 




i 










11 




11 






112 


- 2 




896 








157 


644 




609 












16 


i 










12 




10 






113 


+ 14 




895 






158 


656 




599 












16 


2 










11 




11 






114 


30 




893 


7 




159 


667 




588 




16 








16 


O 










10 




11 






i 15 


46 




891 








160 


677 




577 








110 


62 


16 


889 


2 






161 


688 


11 


565 


12 










16 




3 










10 




11 






117 


78 




886 




8 




162 


698 




554 




16 








16 




2 










10 




11 






118 


94. 




884 








163 


708 




543 












16 




3 










10 




12 






119 


110 




881 








164 


718 




531 












16 




3 










10 




12 






120 


+126 




+878 




9 




165 


+728 




+519 




16 




121 


142 


+ 16 


874 


-4 






.166 


737 


+ 9 


508 


11 






122 


157 


15 


871 


3 






107 


746 


9 


496 


12 






123 


173 


16 


867 


4 


9 




168 


755 


9 


484 


12 


17 




124 


189 


16 


863 


4 






169 


764 


9 


471 


13 






185 


204 


15 


858 


5 






170 


77'3 


9 


459 


12 






126 


330 


16 


854 


4 


10 




171 


781 


8 


447 


12 


17 




127 


235 


15 


849 


5 






172 


789 


8 


434 


13 






128 


251 


16 


844 






173 


797 


8 


422 


12 






139 


266 


15 


838 


11 




174 


804 


7 


409 


13 


17 








15 


5 










8 




13 






130 


+281 




+833 ; 






175 


+812 




+396 








131 


296 


+15 


827 


-6 






176 


819 


+ 7 


383 


13 






132 


311 


15 


821 


6 


12 




177 


826 


7 


370 


13 


17 




133 


326 


15 


815 


6 






178 


832 


6 


357 


13 






134 


341 


15 


809 


6 






179 


838 


6 


343 


14 






135 


+356 


+15 


+802 


7 


-12 




180 


+844 


+ 6 


+330 


13 


-17 





24 





TABLE IV. Continued. 


PERTl KliATIONS OF 


TIIF. CO-ORDINATES IX UNITS OF THE SIXTH DECIMAL. 




ARGUMENT II. 


Ar, 


. 


Diff 


<' 


Diff. 


9 Diff. 


Arg. 


t 


Diff. 




Diir. 


i' Dill". 


180 


+844 




-1-330 




-17 


o 


-i 




-!!-, 




-20 


181 


850 


+6 


31G 


14 




996 


833 


7 




-14 




Ifl9 









13 




997 


B97 


6 


343 


14 






861 


6 




14 


1- 


99B 


820 


7 




14 


20 


184 












999 


813 


7 


871 


14 




186 








14 




230 


800 


7 




14 






875 






14 


18 


931 


790 


7 


899 


14 


90 


1-7 












23g 


791 


8 


413 


14 




188 


884 


4 


H 


14 




933 




8 


42G 


13 




189 


-r 




j 




1- 


234 


77:, 


8 


440 


14 


20 






4 




14 








9 




13 




190 
191 


+891 
894 


+3 


4-199 

17- 


-14 






+798 

758 


- 8 


-463 

4G7 


-14 






- 'T 




|64 




18 


237 


749 




480 


90 


193 


899 




149 






938 


740 


9 


493 


13 




194 






136 






930 


731 


9 


50G 






994 




ttl 




I- 


240 


721 


10 


519 


13 


20 


196 


.I, 




Mr, 






941 


712 


9 


539 


13 






907 










242 


70-2 


10 


12 

.VI 1 




1 - 


| - 








19 


243 


699 


10 


557 


90 


199 


,,, 




63 






944 




11 


11 




..,,, 
M 


+910 
910 
911 


1 



-fl 


34 

n 


li 

-14 
15 


19 


946 
946 

247 


+G71 
GGO 
649 


10 

-11 
11 


-581 
593 
606 


13 

-n 


19 


.' : 


1111 ; 


+ 4 


1 1 




94S 


11 


617 




'.' ! 

906 

1 : 

j 


.,., 

m 

i 

904 


1 

1 
1 


- 10 
54 


14 
14 


I'.i 

in 


949 

-''.I 
969 
953 


11 
616 

i;o:i 

11 



,3 


640 

663 
674 

('-:, 


n 

n 
n 
n 


19 
10 




-j 




15 










- 


211 


900 

- >i 


II:! 
149 


-13 
14 
II 
II 


19 


956 


13 

.-,17 


706 
716 

7 '-'t i 


n 

-10 
10 
10 


(8 




- '! 

... 

4 

- ' 


171 

186 


II 

14 

l.'p 






in 

I'M ' 3 

-.77 

464 

I 1 


736 
74.i 
755 

7;r, 10 


17 




4 




II 




'./(>.! 


11 


771 
1 


16 


m 
m 




. ' 
, 




-U 
14 




997 


14 

M 


-7:n 


- 

1 
1 


n; 


M 


-1 


^ .^-^_ 


301 

^ ^ ^ ^ 


M 
-14 


-90 1 


MI . i 


i - 


BIO 

.i 


8 

- 7 


-16 





25 



TABLE IV .Continued. 


PERTURBATIONS OF THE CO-ORDINATES IN UNITS OF THE SIXTH DECIMAL. 


ARGUMENT II. 


Arg. 


f 


Diff. 


'/ 


Diff. 


f 


Diff. 


Arg. 


f 


Diff. 


' 


Diff. 


n 


Diff. 


o 














o 














270 
271 


+351 
337 


-14 


-831 
839 


-8 


-15 




315 
316 


-346 
360 


-14 


-884 
878 


+6 


+ 7 




272 


322 


15 


846 


7 






317 


375 


15 


872 


6 






27? 


307 


15 


853 


7 


14 




318 


390 


15 


866 


6 


9 




274 


292 


15 


859 


6 






319 


404 


14 


859 


7 






275 


277 


15 


866 


7 






320 


419 


15 


852 


7 






276 


262 


15 


872 


6 


13 




321 


433 


14 


845 


7 


10 




277 


247 


15 


877 


5 






322 


447 


14 


837 


8 






278 


234 


15 


883 


6 






323 


461 


14 


829 


8 






279 


216 


16 


888 


5 


12 




324 


475 


14 


821 


8 


12 








15 




5 










13 




8 






280 
281 


+201 
186 


-15 


-893 

898 


-5 






325 

326 


-488 
502 


-14 


-813 

804 


+9 






282 


170 


16 


903 


5 


10 




327 


516 ' 


14 


795 


9 


14 




283 


154 


16 


907 


4 






328 


529 


13 


786 


9 






284 


139 


15 


911 


4 






329 


542 


13 


776 


10 






285 


123 


16 


914 


3 


9 




330 


555 


1 1 


766 


10 
ift 


16 




286 


107 


16 


918' 


4 






331 


568 


lo 


756 


1U 






287 


92 


15 


921 


3 






332 


580 


12 


745 


11 










16 




3 










13 




10 






288 


76 




924 




8 




333 


593 




735 




17 




289 


00 


16 


926 


2 






334 


605 


12 


724 


11 










16 




2 










12 




12 






290 


+ 44 




-928 








335 


-G17 




-712 








291 


28 


-16 


930 


-2 


6 




336 


629 


-12 


701 


+11 


19 








15 














12 




12 






292 


+ 13 




932 








337 


641 




689 








293 


- 3 


16 


933 


1 






338 


652 


11 


677 


12 






294 


19 


16 


934 


1 


5 




339 


664 


12 


665 


12 


20 








16 




1 










11 




13 






295 


35 




935 








340 


675 




652 








296 


51 


16 


9I!5 









341 


686 


11 


640 


12 










16 














10 




13 






297 


67 




935 




3 




342 


696 




627 




22 




298 


82 


15 


935 









343 


707 


11 


614 


13 










16 




Q 










10 




14 






299 


98 




935 








344 


717 




600 












16 




+1 










10 




13 






300 


-114 




-934 




- 2 




345 


-727 




-587 




23 




301 


130 


-16 


933 


+1 






346 


737 


-10 


573 


+14 










16 




2 










10 




14 






302 


146 




931 








347 


747 




539 








303 


161 


15 


930 


1 







348 


756 


9 


544 


15 


25 








Ifi 




2 










9 




14 






304 


177 


928 








349 


765 




530 








305 


193 


16 


925 


3 






350 


774 


9 


515 


15 










15 




Q 










9 




14 






306 


208 




923 




+ 2 




351 


783 




501 




26 




307 


224 


16 


920 


3 






352 


791 


8 


486 


15 






308 


239 


15 


916 


4 






353 


799 


8 


470 


16 






309 


255 


16 


913 


3 


3 




354 


807 


8 


455 


15 


27 








15 




4 










8 




15 






310 


-270 




-909 








355 


-815 




-440 
















+5 










g 




+16 






311 


285 




904 








356 


823 




424 








312 


301 


16 


900 


4 


5 




357 


830 


7 


408 


16 


28 








15 




5 










7 




16 






313 


316 




895 








358 


837 




392 








314 


331 


15 


890 


5 






359 


843 


6 


376 


16 






315 


-346 


-15 


+884 


+6 


+ 7 




360 


-850 




-360 


+16 


+29 





H- 



26 



TABLE IV .Continued. 


PERTURBATIONS OF THE CO-ORDINATES IN UNITS OF THE SIXTH DECIMAL. 


ARGUMENT III. 


Arg 


f 


Diff. 





Diff. 


C 


Diff. 


Arg. 


f 


Diff. 


*' 


Diff. 


9 


Diff. 


o 



+312 




- 84 




- 2 




o 
45 


+ 28 




4476 








1 


316 


' + 4 


72 


+19 






46 


17 


-11 




- l 










3 




19 










n 




O 






2 


319 




60 








47 


+ 6 




J7-.' 








3 


:i->-j 


3 


47 


13 






48 


- 5 


ll 


270 


2 




* 










19 










11 




3 






4 


324 




H 








49 


16 




267 




| 


5 




1 


23 


19 






50 


27 


ll 


264 


3 


- i 




6 


HI 


1 


- 11 


19 






51 


38 


11 


261 


3 






7 


:;_: 


+ 1 


+ 2 


13 






52 


48 


10 


257 


4 















IS 










10 




A 






8 


'"','7 




14 








53 


58 




253 








9 


M 


1 


27 


13 






54 


68 


10 


248 


5 










1 




19 










9 




5 






10 


+325 




+ 39 




2 




55 


- 77 




+243 








11 


HI 


- 9 


51 


+19 






56 


87 


-10 


238 


^ 5 






12 


321 


9 


63 


19 






57 


96 


9 


232 


6 






13 


318 


3 


75 


19 






58 


104 


8 


226 


6 






14 


314 


4 


87 


19 






59 


113 


7 


220 


C 






15 


311 


3 


99 


19 






GO 


It! 


8 


213 


7 


i 




16 


306 


5 


110 


11 






Gl 


128 


7 


206 


7 






17 


301 


6 


121 


11 






62 


135 


7 


199 


7 






18 


296 




132 


11 






63 


142 


7 


192 


7 






19 


290 


6 


143 


11 






64 


149 


7 


184 


8 










7 




10 








6 




7 






30 
21 


m 

276 


- 7 


+153 
163 


+10 


2 




H 
66 


-155 
161 


- 6 


+177 
169 


- 8 






22 




7 


173 


1 






67 


166 


5 


161 


8 






23 


261 




182 








68 


171 


& 


153 


8 






94 


253 




I'M 








69 


17G 


5 


144 


9 






H 


245 




200 


9 






70 


180 


* 


136 


8 


i 







236 




208 


8 






71 


183 


3 


128 


8 








R) 


9 
10 


KM 


8 
7 






72 


187 


4 


119 


9 






H 


217 




'.'.' I 








73 


190 




111 


8 






H 


HI 


10 


230 


7 






74 


. 192 


9 


102 


9 










10 




6 










9 




8 






30 




10 


MM 




2 




::. 


-I'.U 




+ ''I 








31 


187 




242 








n 


IM 


- 9 


86 


- 8 






32 


191 


10 


Jl- 








77 


198 


9 


77 


9 






33 


166 




.'" : 








78 


IM 


- 1 


GO 


8 






34 


IM 




n 








79 


IM 





n 


8 






:;-, 


143 




HI 








80 


IM 







8 


2 




H 




11 


HI 








81 


|T, 





45 


8 






37 


121 


19 


HI 








-j 







37 


8 









109 


II 


-'71 








83 


IM 


+ 1 


H 


8 






39 


98 




273 






84 


191 


1 


22 


7 










19 




9 








1 




8 






40 


. -,. 


11 






- 1 


-;, 


-196 




+ 14 








41 








* ' 




-f, 


r.'i 


+ 9 


+ 7 


- 7 






42 












-7 


IM 


9 





7 






43 


:.i 








> 


i- . 


3 


- G 


6 






44 


40 


19 






-'.i 


187 


9 


13 


7 






1.', 










n I 


l-l 


+ 3 


- in 


- 6 


- 2 





27 



TABLE IV. Continued. 


PERTURBATIONS OF THE CO-ORDINATES IN UNITS OF THE SIXTH DECIMAL. 


ARGUMENT III. 


Arg. 


f 


Diff. 


*' 


Diff. 


P 


Diff. 


Arg. 





Diff. 





Diff. 


* 


Diff. 
































90 


-184 




- 19 




- 2 




135 


- 11 




- 59 








91 


181 


+ 3 


25 


- 6 






136 


9 


+ 3 


57 


+ 2 






92 


177 


4 


31 


6 






137 


8 


1 


55 


a 






93 


173 


4 


37 


6 






138 


7 


l 


53 


a 






94 


170 


3 


42 


5 






139 


7 





50 


3 






95 


166 


4 


47 


5 






140 


6 


l 


48 


a 






96 


162 


4 


52 


5 






141 


6 





46 . 


a 










5 




5 










.f. 1 




\ 






97 


157 




57 








142 


5 




45 









98 


153 


4 


61 


4 






143 


5 





43 


a 






99 


149 


4 


65 


4 






144 


5 





41 


a 










5 




4 















a 






100 


-144 




- 69 




2 




145 


5 




- 39 








101 


140 


+ 4 


72 


n 






146 


5 





38 


+ i 






102 


135 


5 


75 


3 






147 


6 


- 1 


36 


a 






103 


130 


5 


78 


3 






148 


6 





35 


i 






104 


125 


5 


81 


3 






149 


7 


1 


34 


i 






105 


120 


5 


83 


a 






150 


7 





33 


i 


+ 1 




106 


115 


5 


85 


a 







151 


8 


1 


32 


i 






107 


no 


5 


87 


a 






152 


8 





31 


i 






108 


105 


8 


88 


i 






153 


9 


1 


31 









109 


100 


5 


90 


a 






154 


10 


I 


30 


i 










5 




i 






















110 


- 95 




- 91 




2 




155 


- 10 




- 30 








111 


90 


+ 5 


92 


i 






156 


11 


- 1 


29 


+ l 






112 


85 


5 


92 









157 


12 


1 


29 









113 


80 


5 


92 









158 


13 


1 


29 









114 


75 


5 


92 









159 


14 


1 


30 


- 1 






115 


71 


4 


92 









160 


14 





30 





2 




116 


66 


5 


92 









161 


15 


1 


31 


1 






117 


62 


4 


91 


+ 1 






162 


16 


1 


31 









118 


57 


5 


91 









163 


16 





32 


1 






119 


53 


4 


90 


1 






164 


17 


1 


33 


1 










4 




1 















1 






120 


- 49 




- 89 




2 




165 


- 17 




- 34 








121 


45 


+ 4 


87 


+ 3 






166 


18 


- 1 


35 


- 1 






122 


42 


3 


86 


1 






167 


18 





36 


1 






123 


38 


4 


84 


a 






168 


18 





37 


1 






124 


35 


3 


S3 


i 






169 


19 


- t 


39 


a 






125 


32 


3 


81 


a 






170 


19 





40 


i 


3 




126 


29 


3 


79 


a 






171 


19 





42 


a 










2 




2 










-f- 1 




2 






127 


27 




77 








172 


18 




44 








128 


24 


3 


75 


a 






173 


18 





46 


a 






129 


22 


a 


73 


a 






174 


17 


1 


47 


i 










3 




a 















2 




. 


130 


- 19 




- 71 




- 1 




175 


- 17 




- 49 






i 


131 


17 . 


+ a 


68 


+ 3 






176 


16 


+ 1 


51 


- a 






132 


15 


a 


66 


a 






177 


15 


1 


53 


a 






133- 


14 


i 


64 


a 






178 


14 


1 


55 


a 






134 


12 


a 


62 


o 






179 


13 


1 


57 


2 






135 


- 11 


+ i 


- 59 


+ 3 






180 


- 12 


+ 1 


- 59 


- i 


+ 4 





TABLE IV. Continued. 


PERTURBATIONS OF THE CO-ORDINATES IN UNITS OF THE SIXTH DECIMAL. 


ARGUMENT III. 


Arg. 


C 


Diff. 


'/ 


Diff. 


f 


Diff. 


Arg. 


f 


Diff. 


"' 


Diff. 


f 


n, ir. 


o 





























i- 


- 12 




- 59 




+ 4 




225 


+117 













181 


10 


+ a 


61 


- a 






H6 


118 


+ i 


+ 6 


+ 6 






I--J 


8 


a 


63 


9 






227 


118 





11 


5 






I- : 


6 




65 


a 






228 


118 





17 


6 






184 


4 




66 






v.'v!'. i 


118 





23 


G 






I-:. 


- 2 




68 




.>:!(> 


118 


0. 


29 


6 


+ 3 




i-.; 







70 


; 






231 


117 


- 1 
o 


35 


6 
6 






187 


+ 2 


71 








839 


147 




41 








188 


5 


3 


73 


a 






233 


116 


1 


47 


6 






189 


7 


1 


71 


i 






234 


114 


2 


53 


6 








3 




i 








2 




G 






190 


+ 10 


- 75 




5 


235 


+112 




+ 59 








1 u 


.:. +3 


76 


~~ 




236 


110 


- 2 


65 


+ 6 






1 -.- 


16 


77 








237 


108 


a 


71 


G 






193 




3 


78 






238 


106 


3 


77 


6 






UM 




3 


7:i 






239 


102 


3 


83 


6 






196 


26 


80 






240 


99 


3 


89 


G 


2 




196 


29 


o 






24'l 


95 


4 


94 


5 






197 


33 


M 






242 


n 


4 


100 


6 






198 


36 


o 






243 


87 


4 


105 


5 






199 


40 1 4 


N 






-.'II 


82 


5 


110 


5 








4 


+ i 










5 




6 






200 


+ 44 


70 


5 




245 


+ 77 




+ 1 Hi 










+ 3 


o 














+ 5 






201 


47 


79 






246 


72 




121 










51 


78 


+ i 






247 


66 


6 


126 


5 






M 


4 


77 


1 






248 


61 


5 


130 


4 






204 


4 


76 


i 






249 


55 


6 


135 


5 






205 




74 


a 






250 


48 


7 


tag 


4 


+ 1 




M 




7'.' 


a 






251 


42 


6 


143 


4 






207 


70 


71 


i 






0M 


:tr, 


7 


146 


3 






n 


74 


1,1 


a 






863 


28 


" 


150 


4 






209 


77 


66 


3 






254 


21 


7 


153 


3 








4 


3 








7 




3 






-.'Hi 


+ 81 




- 63 


4 


KB 


+ 14 




+ l.~>ii 








.'II 


84 


+ 3 


61 


+ a 






BM 


+ 7 


7 


UH 


+ 2 






212 


-- 


4 


58 


3 








- 1 


8 


160 


a 






21.1 


91 


3 


54 






we 


8 


7 




9 






214 


94 


3 


51 \ 








16 


8 


Kilt 


i 






ni 


97 


3 


.7 






260 


24 


8 


164 


i 







210 


100 


3 


43 : 






M 


32 


8 


166 


1 






217 


103 


3 


4 




._), ,._, 


40 


8 


166 


+ i 






Jl- 


105 


1 




4 






.'r,:t 


1- 


8 


166 









219 


108 


3 


30 








164 


8 


MB 


- 1 










1 




5 






9 











M 


+110 




H 




+ 4 




MB 


i;.i 




+ 165 










111 


+ 9 


21 


+ 4 






168 


7:t 


- 8 


163 


2 








113 


1 


16 


4 






m 


81 


8 


UN 


1 






223 


111 


a 


10 


6 










- 


160 


9 







m 


II'-, 


i 


5 










!>7 


1 


m 


9 






:: 


+117 


+ i 









.'M 


106 


- 8 


+ I.V, 


- 3 








29 



TABLE IV . Continued. 


PERTURBATIONS OF THE CO-ORDINATES IN UNITS OF THE SIXTH DECIMAL. 


ARGUMENT III. 


Arg. 


* 


Diff. 


,' 


Diff. 


f 


Diff. 


Arg. 


* 


Diff. 


r/ 


Diff. 


v 


Diff. 


270 


-105 




+155 









o 

315 


-145 




-209 








271 


113 


- 8 


152 






316 


136 


+ 9 


217 


- 8 






272 


121 


8 


149 






317 


127 


9 


224 


7 






273 


129 


8 


145 






318 


117 


10 


230 


6 






274 


136 


7 


141 


4 




319 


107 


10 


237 


7 






275 


144 


8 


136 


. 5 




320 


97 


10 


242 


5 


- 1 




276 


151 


7 


131 


5 




321 


87 


10 


248 


6 






277 


158 


7 


126 


5 




322 


76 


11 


253 


5 






278 


165 


7 


120 




323 


65 


11 


258 


5 






279 


172 


' 


114 






324 


53 


12 


262 


4 










6 




6 




- 






11 




3 






380 


-178 




+108 









325 


- 42 




-265 








261 


184 


- 6 


101 


- 7 






326 


30 


+12 


268 


- 3 






282 


190 


C 


94 


7 






327 


18 


12 


271 


3 






283 


195 


5 


87 


7 






328 


- 6 


12 


273 


2 






384 


200 


5 


79 


8 






329 


+ 6 


12 


275 


2 






285 


205 


5 


71 


8 






330 


18 


12 


276 


1 


1 




266 


209 


4 


63 


8 






;{;>( 


31 


13 


277 


- 1 






287 


213 


4 


55 


8 






332 


43 


12 


277 









286 


217 


4 


46 


n 






333 


55 


12 


276 


+ ! 






289 


220 


3 


37 


9 






334 


68 


13 


275 


1 










3 




9 










12 




1 






290 


-223 




+ 28 









335 


+ 80 




-274 








291 


226 


- 3 


18 


-10 






336 


92 


+12 


272 


+ 2 






292 


228 


2 


+ 9 


9 






337 


105 


13 


269 


3 










1 




10 










12 




3 






293 


229 




1 








338 


117 




. 266 








294 


230 


1 


10 


9 






339 


129 


12 


262 


4 






235 


231 


- 1 


20 


10 






340 


141 


12 


253 


4 


2 




296 


231 





30 


10 






341 


152 


11 


253 


5 






297 


231 





40 


10 






342 


164 


12 


248 


5 






298 


230 


+ 1 


50 


10 






343 


175 


11 


242 


6 






299 


229 


1 


61 


11 






344 


186 


11 


236 


6 










2 




10 










11 




6 






300 


-227 




- 71 




- 1 




345 


+197 




-230 








301 


225 


+ 2 


81 


-10 






346 


208 


+11 


223 


+ 7 










3 




10 










10 




g 






302 


222 




91 








347 


218 




215 








303 


219 


3 


101 


10 






348 


227 


9 


207 


8 






304 


215 


4 


111 


10 






349 


237 


10 


198 


9 






305 


211 


4 


121 


10 






350 


246 


9 


189 


9 


2 




306 


207 


4 


131 


10 






351 


255 


9 


180 


9 






307 


202 


5 


140 


9 






352 


263 


8 


171 


9 






308 


196 


6 


150 


10 






353 


271 


8 


161 


10 






309 


190 


6 


159 


9 






354 


278 


7 


151 


10 










6 




9 










7 




11 






310 


+184 




-168 




-1 




355 


+285 




-140 












+ 7 




g 










+ 6 




+11 






311 


177 




177 








356 


291 




129 








312 


170 


7 


185 


8 






357 


297 


6 


118 


11 






313 


162 


8 


194 


9 






358 


302 


5 


107 


11 






314 


154 


8 


202 


8 






359 


307 


5 


95 


12 






315 


-145 


+ 9 


-209 


7 






360 


+312 


+ 5 


- 84 


+11 


- 2 





30 



TABLE IV. Continued. 


PEinTUMATIONS OF THE CO-ORDINATES IN UNITS OF THE SIXTH DECIMAL. 


ARGUMENT IV. 




. 


Arg. 


i' Diff. 


/' Diff. 


V 


Diff. 


Arg. 


f 


Diff. 


*' 


Diff. 


{' Diff. 















o 















-378 






+ 4 




180 


+376 




+ 85 




- 4 


5 


884 


* 


52 +33 






185 


382 


+ 6 


52 


-33 




10 


887 


- 3 


- 1- ** 


5 




190 


386 


+ 4 


+ Iri 


34 


5 


15 


387 





+ 16 


34 






198 


386 





- ir, 


33 




91 


384 


+ 3 


50 


34 


5 




200 


888 


- 3 


48 


34 


5 


96 


379 


9 


83 


33 






906 


:i77 


6 


82 


33 




30 


370 


9 


110 


33 


5 




210 


889 


8 


115 


33 


5 


35 




19 


148 


39 




916 


358 


11 


146 


31 




40 


344 


14 


179 


31 


B 




990 


844 


14 


177 


31 


r 


45 


327 


17 


lOg 


99 






986 


327 


17 


200 


29 








19 




98 










19 




28 




50 
55 


- MM 
286 




+236 


+96 


+ 4 




230 
986 


+308 

287 


-21 


960 


-26 


-4 


60 


262 


"I 




24 


4 




940 


963 


24 


984 


24 


4 




iCIO 


96 


806 


99 




946 


937 


26 


806 







70 


m 


96 


327 .'! 


3 


950 


210 


27 


896 


M 


. ( 




179 





844 


ii 




956 


181 





343 


17 




80 

85 


148 

117 


31 
31 


358 
370 


14 
19 


:! 


980 
986 


160 

118 


31 
32 


368 
360 


IS 
11 


3 


90 


84 




378 


9 




970 


86 


ft 


378 


9 


9 


H 


51 




384 






-'7:, 


53 


33 


385 


7 






34 


+ 3 








34 




3 




100 
105 


- 17 
+ 1C 


+33 


+387 





+ 1 


280 
986 


+ 1!) 


-34 


388 





i 


110 
116 
120 
MB 

130 


50 
83 

111! 

147 

17- 


33 
33 
31 
31 


384 
878 

358 
844 


3 
6 
9 
11 
14 





- 1 




290 
906 
300 
806 

310 


18 

82 
118 

146 

177 


33 
34 
33 
31 
31 


386 
380 
871 
860 
345 


+ 3 
5 
9 
II 
IS 




1) 

4. 1 


IX 

140 
145 


207 
234 


97 




327 

19 

998 " 


2 




816 

890 

896 


-'(17 
936 
961 


30 
28 

H 


898 
800 
988 


17 
19 
11 


a 


150 
IM 
160 

17" 

178 




01 

:r. 


. 

19 
17 
14 
18 
+ 8 


236 

180 
148 

117 

. -". 


94 

-96 

. 

31 

-w 


-:i 
:t 
4 

- 4 

ii i 


.la.'.- --a 


886 
848 
846 

866 

880 


807 
890 
843 

880 


94 

-99 

19 
17 
15 
11 
- 9 

^rr =^ 


-464 

938 
910 

l-i 
150 
118 

-'. 


M 

+26 

-'- 

M 

32 


:t 
4 

+ i 


^ ^ 







31 



TABLE IV .Continued. 


PERTURBATIONS OF THE CO-ORDINATES IN UNITS OF THE SIXTH DECIMAL. 


ARGUMENT V. 


Arg. 


f 


Diff. 


' Diff. 


c' 


Diff. 


Arg. 


f 


Diff. 


',' 


Diff. 


f< 


Diff. 
































-312 


+ 61 


-0 




+180 


+344 




- 74 




+ 6 




5 


310 


oc I -26 
So I 






185 


349 


+ 5 


42 


+32 






10 


317 


+ 9 


26 


6 




190 


352 


+ 3 


- 10 


32 


6 




15 


317 


- 18 


27 






195 


351 


- 1 


+ 22 


32 






20 


315 i 


44 


26 


6 




200 


348 


3 


54 


32 


6 




25 


310 1 


70 


26 






205 


341 


7 


86 


32 






30 


304 


95 


25 


5 




210 


331 


10 


116 


30 


5 




35 


296 


o 


120 


25 






215 


319 


12 


146 


30 






40 


285 


11 


145 


25 


5 




220 


304 


15 


174 


28 


5 




45 


273 


12 


169 






225 


286 


18 


200 


26 










14 


22 










20 




25 






50 
55 


-259 
243 


+16 


-191 
213 


-4 




230 
235 


+266 
244 


-22 


+225 
248 


+23 


+ 4 




CO 


225 


18 


21 

234 


4 


240 


220 


24 


268 


20 


4 




65 


205 


20 


253 




245 


194 


26 


286 


18 






70 


183 


22 


270 


3 


250 


167 


27 


301 


15 


3 




75 


100 


23 


286 




255 


139 


28 


314 


13 






80 


130 


24 


300 i 


2 


200 


111 


28 


324 


10 


2 




85 


110 


26 


312 j 




205 


81 


30 


331 


7 






90 


83 


27 


322 


-1 




270 


51 


30 


335 


4 


+ 1 




95 


55 


28 


329 








275 


+ 21 


30 


337 


+ 2 










28 




5 










29 




- 1 






100 


- 27 | 


-334 









280 


- 8 




+336 









105 


+ 3 


+30 


337 3 






285 


37 


-29 


333 


- 3 






110 


33 


30 


337 





+ 1 




290 


65 


28 


327 


6 


- 1 




115 


62 


29 


334 


+ 3 




295 


93 


28 


318 


9 






120 


92 


30 


329 


5 


2 


300 


119 


26 


308 


10 


2 




125 


121 


29 


321 


8 






305 


145 


26 


2<)5 


13 






130 


150 


29 


310 


11 


3 


310 


169 


24 


280 


15 


3 




135 


178 


28 


296 


14 






315 


191 


22 


264 


16 






140 


204 


26 


280 


16 


4 




320 


212 


21 


246 


18 


4 




145 


229 


25 


261 


19 






325 


231 


19 


227 


19 










24 




21 










17 




21 






150 


+253 




-240 




+ 4 




330 


-248 




+206 




- 4 




155 


274 


+21 


216 


+24 






335 


264 


-16 


184 


-22 






160 


293 


19 


191 


25 


5 




340 


277 


13 


160 


24 


5 




105 


310 


17 


104 


27 






345 


289 


12 


137 


23 






170 


324 


14 


135 


29 


5 




350 


299 


10 


112 


25 


5 












30 










7 




25 






175 


335 




105 








355 


306 




87 








180 


+344 


+ 9 


- 74 


+31 


+ 6 




360 


-312 


- 6 


+ 61 


-26 


- 5 







32 



TABLE IV. Continued. 
PERTURBATIONS OF THE CO-ORDINATES IN UNITS OF THE SIXTH DECIMAL. 
ARGUMENT VI. 


Arg. 


r 


Diff. 


f 


Diff. 


C 1 


Diff. 


Arg. 


f 


Diff. 


'/ 


Diff. 


{' Dill'. 


e 


























. 


+110 




+ 3 




+ 4 




ISII 


-114 




+ 3 


-7 


5 


109 




14 


+11 






185 


114 





(> : 




10 


107 


9 


Jl 


10 


4 




1'JO 


118 


+ i 


14 " 


G 


15 


105 


35 


11 






196 


ill 


a 






20 


101 


45 


10 


3 




200 


109 


a 


j.) 9 


G 




96 




54 


9 






886 


107 


a 


40 




30 


91 




63 




3 




Jio 


103 


4 


48 


G 


i k"' 


85 




TV.' 








816 


99 


4 


5C ! 




40 


78 




80 




3 




220 


94 


M 


5 


45 


70 


87 






888 


88 


71 






8 


e 








g 


_ 




50 
55 


+ C2 
53 


- 9 


+ 93 
98 


+ 5 


+ 2 




230 


- 82 
75 


+ 7 


- 78 
84 


-5 


60 


44 




103 


+ 1 




840 


68 


7 


80 


4 


65 


34 




107 






846 


CO 


e 


1C, 




70 


25 




110 









250 


52 


8 


100 


8 




15 




11-' 








866 


43 


9 


mi 




80 
85 


+ 5 
- 4 




113 

113 










200 
2G5 


M 

24 


9 
10 


!ro 


2 


90 

M 


14 
24 


10 


112 " 

111 


-1 




270 
876 


14 
- 4 


10 
10 


in 
in 


- a 




- 1 


100 
105 
110 
118 
120 

m 


- 33 
42 
50 
58 
66 
73 


9 

9 
8 
8 
8 

7 


+108 
105 

m 

96 
88 

87 


3 

- 3 
3 

4 
1 
6 


-2 
3 
4 




880 
886 

290 

300 
806 


+ G 
1C 
BB 
3C 
46 


10 

+10 
10 
10 
10 
9 


-in 

110 
108 
105 
101 
9G 




+ i 
a 

3 
4 
5 




+ 1 


130 
135 
140 
145 


80 

6 
6 
97 ! * 


81 

68 
60 


6 
7 
8 


5 

o 


810 
816 

886 


84 

72 
80 

87 


9 
8 
8 


90 
83 
/C 
68 


a 

7 

7 
8 


2 
3 


150 
155 
160 
165 

180 




4 
+101 
105 -J 

110 
112 
118 

-114 

' 


37 
28 

20 
II 

' :: 
===== 


7 

- 8 


9 
8 
9 

- 8 

===== 


6 
6 
6 
-? 


===== 


848 

866 

SCO 

- 


+ it:? 
98 
103 
100 
108 
110 

+110 

= 

.^ 


6 

+ 5 
5 
3 
9 
+ 9 

===== 


- 59 
49 

39 

29 
19 

+ 3 




9 

+ 10 
10 
10 
10 

11 
+11 

===== 


+ 3 
3 
4 

+ 4 

. 








33 



TABLE IV. Continued. 
PERTURBATIONS OF THE CO-ORDINATES IN UNITS OF THE SIXTH DECIMAL. 
ARGUMENT VII. 


Arg. 


f 


Diff. 


,' 


Diff. 


f 


Diff. 


Arg. 


f 


Diff. 


f 


Diff. 


? 


Diff. 

















O 

















+ 92 




-125 




-30 




180 


- 94 




+122 


+30 




5 


93 + ' 


10.2 


+23 




-3 


185 


95 


- i 


99 \ 




+ 3 


10 


92 




77 


25 


33 


190 


95 





76 


23 


33 













25 








o 




24 






15 


92 




52 






2 


195 


95 


52 






2 


20 


90 


27 


25 


35 




200 


93 


+ 2 


27 


25 


35 






2 




25 










2 




25 






25 


88 ; 


- 2 






- 1 


205 


91 




+ 2 






+ 1 


30 


65 


+ 24 


26 


36 




210 


88 


3 


- 22 


24 


36 




35 


81 


49 


25 




0, 


215 


85 


3 


47 


25 









4 




25 














24 






40 


77 


74 




36 




220 


80 




71 




36 






4 




24 










5 




24 






45 


73 


98 








225 


75 




95 










5 




23 




+ 1 






5 




23 




-1 


50 


+ 68 


+121 




-35 




230 


- 70 




-118 




+35 




55 


62 


144 


+23 




3 


235 


64 


+ 6 


141 


-23 




3 




6 




22 














21 






GO 


56 


166 




32 




240 


57 




162 




32 






7 




20 










7 




20 






65 


49 


166 






3 


245 


50 




182 






3 


70 


42 


7 


205 


29 


250 


43 


' 


201 


19 


29 










17 










g 




17 






75 


35 




222 




4 


255 


35 




218 






4 






7 


1 ^ 










g 




15 






80 


28 




237 


25 




260 


27 




233 




25 




85 


20 


8 


250 


13 




5 


265 


19 


247 


14 




5 






a 


11 








n 


10 






90 


12 




261 




20 




270 


10 


a 


259 


20 











10 










g 


10 






95 


+ 4 


271 








275 


- 2 




263 : 








8 




8 




6 






9 


8 




6 


100 


- 4 


+279 




-14 




280 


+ 7 




-277 


+14 




105 


12 


- 8 


284 


+ 5 




6 


285 


15 


+ 8 


283 I 




6 


110 


20 


8 


267 


3 


8 




290 


23 


8 


287 


8 




115 


28 


8 


288 


+ ' 




6 


295 


31 


8 


289 




6 






7 














U 


J_ 1 






120 


35 




287 




- 2 




300 


39 




288 


+ 2 




125 


43 


8 


284 


3 




6 


305 


46 


7 


285 


3 




6 


130 


50 


7 


278 


6 


+ 4 


310 


53 


' 


280 


5 


- 4 




135 


56 


6 


270 


8 


6 


315 


59 


6 


273 


7 




6 




7 


in 








Q 




n 






140 


63 1 


260 


10 


320 


65 




264 




10 




145 


69 6 


248 


12 






325 


71 


6 


253 


11 










6 


13 




6 






5 




14 




6 


150 


- 75 




+235 | 


+16 




330 


- 76 I 


-239 




-16 




(55 


so 


- 5 


220 




6 


335 


80 +4 


224 


+ 15 




6 


160 


84 


4 


203 


17 


22 




340 


64 


207 


17 


22 






3 




18 








1 




18 






1 <>."> 


87 ; 


185 






5 


345 


87 


189 






3 


170 


90 


165 


20 


27 




350 


89 


169 


20 


27 




175 


93 


3 


144 


21 




+ 3 


355 


91 


148 


21 




-3 


iso 


- 1)4 


- 1 




-22 


+30 




360 


+ 92 


+ 1 


-125 


+23 


-30 








[-1- 



34 



TABLE IV .Continued. 


1T.K1 1 Ul'.AI loNS or THE CO-ORDINATES IN UNITS OF THE SIXT 1C1MAL. 


ARGUMENT VIII 


ARGUMENT 1\ 


Arg. 


Dill 


,' Diff. 


ft 


Diff. Arg. 


f 


Diff. 


,' Diff. 


<r Diff. 


O 




















+206 


- 85 


_ 





- 27 


- 16 


-i 


10 


217 +" 


48 ** 




10 


30 


15 


2 


20 


- +i 


-10 J 




20 


31 




2 




,--' 1 






30 


31 





12 


,' 


40 


919 






40 


31 





10 , 


2 




15 











+ j 


3 




50 


ID7 


103 




50 


29 




7 


2 


60 


... 91 


i:.:, 




60 


27 


2 


5 


i 




'. 


QO 






A 


1 




70 


150 


164 




70 


23 


- 2 


2 




31 


03 






4 


3 




80 


119 


187 i 


_ 


80 


19 


+ i 


9 




34 


18 






4 






90 


85 


906 





90 


15 


4 


1 




37 


12 






5 


2 




100 




+'J17 





100 


- 10 : 


+ 6 


-1 






+ 5 








+ 3 




110 


+ 10 







110 


- 5 


9 


1 




4 


9 






fi 







no 


- 29 







120 


+ i 


11 


-1 







a 














in 


01 


919 





inn 


6 


13 


n 




. 


U 






K 


1 




140 


103 


197 





i in 


11 


14 







33 


01 









1 




150 


in 


17C, 


+ 1 


150 


16 


15 


+ 1 


160 


164 


150 


1 


160 


21 


16 


i 


170 


188 


119 


1 


170 


,M 


16 


i 


l-i 


- 


? -:. -** 


+J 


180 


+ 27 +3 


+ 16 




ARGUMENT X. 


ARGUMENT XI. 


ARGUMENT Ml 


Arg. 


Diff. 


,/ Diff. 


Arg. 


i 


Ditr. 


v ' Diff. 


Arg. 


f Ditr. 


,/ D.lV. 






















O 













o 









+32 









+ 5 





+21 


-10 


10 




6 


10 




+ 1 


10 


99 


6 


20 


30 


rj 


20 


99 


- :i 


20 


23 


- 2 


30 


38 


IT 


30 


5 


i 


7 


30 


89 


+ 1 


40 


M 


21 


40 


-' 


11 


40 


22 


r, 


50 






50 


M 


U 


50 


21 


g 


60 


Hi 


28 


CO 


16 


IT 


60 


19 


1:1 


70 


10 


91 


70 


r.- 


19 


70 


17 


16 


80 






BO 




8 


U 


80 


14 


18 




- 1 




90 




5 


22 


N 


10 


20 


100 


- 6 


-3-.' 


100 


_ 


I 


-a 


100 


4 r. 


449 


no 


19 


30 


no 


+ 


3 


110 


+ _' 


U 


120 


1 . 


190 




9 


."J I'.'O 


- 1 


98 


in 


91 


M 


in 


n 


Jii i:to 


.-, 


>> 


1 In 






110 


14 


18 


111) 


g 


91 






II 


180 


i 


~ 


16 


160 


19 


in 




Ml 


10 




19 


19 


100 


n; 


n; 


170 






170 


91 


[i 


ITO 


1!) 


i:i' 






+ 1 1*0 






180 


-1 


> in 


1 . tin- Argument-. .\* i .iililr.i. 1 1-0, .ni.l r. i.-r-r lli.- .IRI, ml ;' 



35 



TABLE IV. Concluded.. 


PERTURBATIONS OF THE CO-ORDINATES IN UNITS OF THE SIXTH DECIMAL. 


ARGUMENT XIII. 


ARGUMENT XVII. 


ARGUMENT XX. 


ARGUMENT XXIII. 


Arg. 


P 


if 


Arg. 


? 


<f 


Arg. 


? 


1' 


Arg. 


p 


I 1 


O 






O 























-10 


- 4 





_ ^ 


- 5 





+ 1 








- 1 , 





20 


10 





20 


4 3 


20 


1 





20 





+ 1 


40 


10 + 3 


40 


5 


- 1 


40 


1 





40 





1 


60 


8 7 


60 


5 


+ 1 


60 


1 


+ 1 


60 





1 


80 


5 9 80 


5 


3 


80 


+ 1 


1 


80 





1 


100 


- 2 10 100 


4 


4 


100 





1 


100 


+ 1 


+ 1 


120 


+ J 10 120 


2 


6 


120 





1 


120 


1 





140 


5 9 140 


- 1 


6 


140 





1 


140 


1 





160 


8 


7 


160 


+ 1 


6 


160 


- 1 


+ 1 


160 


1 





180 


+10 


+ 4 


I ISO 


+ 3 


+ 5 


180 


- 1 





180 


+ 1 





ARGUMENT XIV. 


ARGUMENT XVIII. 


ARGUMENT XXI. 


ARGUMENT XXIV. 





-10 


- 3 





+ 2 


- ] 





+ 2 


- 2 





- 1 


- 2 


20 


10 


20 


2 





20 


2 


- 1 


20 


1 


- 1 


40 


10 


+ 3 40 


2 





40 


2 


o 


40 


I 





60 


8 


7 


CO 


2 


+ 1 


CO 


2 


+ ] 


60 


2 





80 


5 


9 


80 


1 


1 


80 


2 


1 


80 


2 


+ 1 


100 


- 2 


10 


100 


+ 1 


2 


100 


2 


2 


100 


1 


1 


120 


+ 2 


10 


120 





2 


120 


+ 1 


2 120 


- 1 


2 


140 


5 


9 


140 


- 1 


2 


140 





2 140 





2 


160 


8. 


7 160 


1 


1 


160 


- 1 


2 160 





2 


180 


+10 


+ 3 180 


- 2 


+ 1 


180 


- 2 +2 


180 


+ 1 


+ 2 


ARGUMENT XV. 


ARGUMENT XIX. 


ARGUMENT XXII. 


ARGUMENT XXV. 





- 2 


+15 





- 1 





+ 1 


- 








- 1 


20 


+ 3 


15 


20 


1 


20 


+ 1 




20 


+ 





40 


8 


13 


40 


1 - 1 


40 







40 







60 


12 


10 


60 


1 1 


60 







60 







80 


14 


+ 5 80 


1 


80 


- 1 




80 







100 


15 





100 





1 


100 


1 


- 


100 


+ 


+ 


120 


14 


- 5 


120 





1 


120 


1 





120 







140 


11 


10 


140 


+ 1 


1 


140 


1 





140 







160 


7 


13 


160 


1 


- 1 


160 


1 





ICO 







180 


+ 3 


-15 


180 


+ 1 





180 


- 1 


+ 1 


ISO 





+ 


ARGUMENT XVI. 







- 5 


- 3 




20 


6 


- 2 




40 


6 







60 


5 


+ 2 





80 


4 


3 




100 


- 2 


5 




120 





5 




140 


+ 2 


5 




160 


3 


4 












180 


+ 5 


+ 3 





From the Arguments >180 subtract 180, and reverse the sign off, rj', and C'- 



36 



TAP.U-: v. 








LOGARITHMS FOR REFKKUINO TIIK PERTURBATIONS 


TO THE 


I (JCATOR. 


Mean Equinox of the beginning of the Year. 








Year. 


eo (i, x) 


coi (y, z) 


COB (Z, I) 


coi (z, y) 


coi (y, y) 


co (z, y) 


cos (z, z) 


cog (y, z) 


COB (Z, Z) 


HUB 


9.998756 


8.151278/1 


8.870449 


8.626197 


9.963147 


9.594 !>:. 


8.796613n 


9.596408 


.'189 


\ -:.: 


-755 


8.158664n 


8.870441 


8.628476 


9.963146 


9JS94167I 


'Hi/i 


9.696407 


9.9621! Hi 


1858 


9.998753 


8.165956n 


8.870 l:v.' 


8.630743 


'.i.'.iinui 


:i..v>4149n 


A66n 


9.596406 


9.969196 


1859 


9.998752 


8.17309971 


8.870424 


--998 


ii.'.M;:u43 


!i..-.'.m:n 


-.7'M591n 


9.596404 


.'..H;*JOO 


18601? 


-750 


8.180155n 


8.870415 


8.635242 


9.963141 


9.594 11 3n 


n:,;( 


9.596409 


aoa 


1861 


9.998749 


8.187069n 8.870407 


8.637474 


:i.'.;:u4o 


:!..v.i40!ifm 


8.703-':!7/i 


9^96401 


9.962207 


ISM 


9.998747 


8.193903n 


- -70398 


*.<;:'JG96 


'.t.!M!3138 


:i..v.i4077 


9.79956911 


9.596399 


9.968910 


1863 


9.996746 


8.200604n 


8.870389 


8.641905 


!.!Mi3i:i7 


9.594059n 


B.791879n 


16398 


!i.'.M;2214 


18MB 


-744 


8.207230n 


8.870380 


8.644104 


9.963135 


9.594040/j 


8.791 199n 


9.596396 


'.'.W2217 


1886 


9.998743 


8.213730n 


8.870:!7ii 


8.64i 


9.963134 


I099H 


8.7905 17n 


9.596396 


9.98999] 


1881 


9.998741 


8.220 160n 


8.8701!'.:! H.648467 


9.9C3132 


9.594004n 


8.789835n 


9.596393 


9.969994 


1867 


9.998739 


8.22647171 


8.870354 8.650f,:i-, 


'.'.:i(;:}i30 


MW8088H 


8.789151n 


BJ88391 


9489988 


18685 


9.998737 


8.23271 7 H 


8.870345 


8.652788 


!.!Mi31S8 


BJS89967H 


8.788466H 


9.596389 


!l.!Mi'31 


186!) 


9.998736 


8.23884971 


8.870337 


8:654939 


!i.'.M;:ti-.'7 


9J93949H 


8.787780n 


B.596388 


1936 


1870 


9.9<>7:tl 


8.24492071 


8.870328 


8.657066 


;i.'.wi:ti2r, 


'.i.."i'.i:i3iH 


-.7-7093H 


9.696388 


9.969938 


1871 


-732 


8.25088371 


8.870319 


8.659188 


!l.!IC,:tl23 


!i.:.! i:t'.l|3;j 


-.7-1:40571 


9.596384 


9.989941 


I879J9 


9.998730 8.a567t;CH 


8.870310 


8.661301 


9.9C:!I'.'I 


!I..V.i:t,-!HH 


8.7857 II :/i 


9.696389 


!i.'.Ui-J->44 


1873 


IK 8.26257071 


8.870302 


3404 


'.i.%:ui; 


9.593^7 1; 


-.7.-50.T.74 


9^96380 


9.969948 


1874 


9.998726 8.268321 n 


8.87(!-".':! 


W7 


9.'.ii;:ui7 


!i..V.I3858 


8.784333/1 


6378 


9.969951 


1875 


-724 


-.-,'7:i73;i 8.870284 


8.667584 9.963115 


!l.. r .;t3840 


8.78414071 


9.596376 


9.989966 


18710 


-782 


8.279r>'.i:t/i 


8.870275 


8.669661 


!I.'.M;3113 


:i.:.!i:W3in 


-,7-.".i4t;/i 


9.596374 


9.969958 


1877 




8.28510771 


8.870266 


8.671719 


;I.!M;:IIII 


!i..v.:wo3n 


-.7 -.'-:.< 7i 


9.59(i:i7i 


9.9B9969 


1878 


9.998718 


8.29056971 


8.870257 


7S7B7 


'.I.'.HKUOS 


BOS03785II 


8.7815.V./1 


!'.:.: 


9.969966 


l-7'.i 


9718 


8.296 160n 


8.87024 < >.ii7.>l'.i 


;I.:H;:UO- 


.i.r.:i:(7ii7;i 


8.78085771 


9JW888B 


9J89968 


I8B&B 


H.'.f.i-TI 1 


8.301290n 


8.870239 -.i;77-i,-^ 


:i.!;:{|(i4 


!l..V.i:t74-;i 


8.780i:.!i 


'.I..V ' 


9.989971 


1--I 


9498719 


8.306532n 


8.8702:'.n 91079891 


!i.!Mi:U02 


!i..">'.i:t730;i 


'ir.i/i 


9.596364 


9976 


1869 


-| -.:!i 1733/t 


8.870-J-JI '.i;-i:no '.i.iMKllOO 


:i.r.'.i:!7l-JH 


-.77S748n 


9.596369 


9.989978 


1883 


:n- -.:in;-:.i;( 


8.870212 8.683940 '.I.'.M;:III:I- 


:i..v.i:;i;!i.|;i 


3.77805111 


9.598360 


:-.'-.' 


I --!/>' 


-706 


BJU960H 


8.870203 


-.-I :i.!'.;:i(i'.i:. 


:'..7Kll!7.-.;i 


s.777353/1 


:>.:> 


9.969988 


1885 




T.OH 


8.870194 


8.687912 9.!K!3093 


9.593657N 


-.7;^ 


9.596354 


9469989 


I--,. 




8.331918* 


8.870185 


8.68H.-.I.-. !>.:Mi:to:ii 


<.i.:.'.Kii;:i:i;i 


-.77.V.M:! 


9J06354 


9.96)1 


I--7 


-700 


8.336800n 


8.870176 


8.691.-C.I :i.'." 


!t.r.!l3t;-JlH 


S.77.V.>3C,/i 


9.596369 


9.969996 


!---/< 




8.34 ! 


8.870167 


0894 


9.988086 


S609H 


B.774599H 


9.596349 


9469996 


1 i 




8.34643 In 


8.870158 


771 


!i.:tt;:tn-i :i..vi:t:.-i 


B.773891JI 


9.696341 


9.969309 






-.:!.M I7-/I 


- -Tiil-1'.l 


'7717 




9.5935660 


B.773119H 


9.596346 


9.969306 


1891 


'-691 


8.355854n 


8.870140 


.;.-, i 


1060 


9.693648n 


3.779401fl 


9.696349 


9468809 


i - . /; 




8.360499n 


8.870130 


8.701577 




;I..YI:I.-,:I;I 


3.77169011 


9.596340 


!l.!Ki2312 






'17671 8.C7III-J] 


8.703493 


53076 


9.593519n 


8.77097711 


9.691 


9.989316 


18M 




BMfl -.-71111-.' 


8.706409 


9.963079 


:i..v.:i4!4 


3.770964fl 


9.596336 


9.969319 


i- '-. 




-.n -.-THICKS 


-.7117:111-,' :i.:Mi:!ii7u :(..v.i:u:t;/ 


B.769549M 


9.596334 


9389 


i- ./; 




- JTOOOa -.7(i:i|:M !i.'.M;:!nr,7 


:>.:>:> 


8.768834fi 


9.606331 


9.969396 


1- '7 




: 11077 !'. 


:i..v.i:u:;:.,, 


3.768116D 


16391 


9.969399 


i- - 




'In . -.-7nu;.-, -.71 .':!.-,:! ;i. 


I'.'lH 


B.7W 


9.596398 


9.969339 


I8M 




,., 3.870066 -.7ii-r.t 


1060 


I403N 


-.:<: 


9.596394 


9.988336 




-.-7ipn.-p<; -.7i;r.::i '.i.'.;:iii:,7 :I..Y':I.:-I/I 


8.76 


9.606391 


{339 





37 



TABLE VI. 




CONSTANTS FOR THE EQUATOR. 




Equator and mean Equinox at the beginning of the Year. 


Year. 


# 


B< 


C< 


log sin a 


log siu b 

\ 


log sin r 


18565 


/ II 

90 48 50.1 


o / // 
2 38 7.2 


/ II 

350 59 24.5 


9.998801 


9.963607 


9.601800 


1857 


90 49 40.5 


2 38 57.1 


351 13.7 


9.998801 


9.9G3611 9.601782 


1858 


90 50 30.8 


2 39 47.0 


351 1 2.9 


9.! 198801 


9.963614 


9.601764 


1859 


90 51 21.2 


2 40 36.9 


351 1 52.2 


9.998801 


9.9636 is 


9.601746 


18605 


90 52 11.7 


2 41 27.0 


351 2 41.5 


9.998801 


9,963031 


9.601728 


1801 


90 53 2.0 


2 42 16.9 


351 3 30.7 


9.998801 


9.963625 


9.601710 


1869 


90 .->:! 52.4 


2 43 6.8 


351 4 19.0 


9.998801 


9.963628 


9.601692 


1863 


90 54 42.7 


2 43 56.7 


351 5 8.2 


9.998801 


9.963631 


9.601674 


18045 


90 55 33.2 


2 44 46.7 


351 5 58.6 


9.998801 


9.963634 


9.601657 


1865 


90 56 23.5 


2 45 36.6 


351 6 47.9 


9.998801 


9.963638 


9.601639 


1866 


90 57 13.9 


2 46 26.5 


351 7 37.2 


9.998801 


9.963641 


9.601621 


1867 


90 58 4.2 


2 47 16.4 


351 8 26.5 


9.998801 


9.963844 


9.601603 


18685 


90 58 54.7 


2 48 6.4 


351 9 15.9 


9.998801 


9.963647 


9.6015-.-, 


I860 


90 59 45.0 


2 48 56.3 


351 10 5.2 1 9.998801 


9.963661 


9.601567 


1870 


91 35.4 


2 49 46.2 


351 10 54.5 


9.998801 


9.963654 


9.601549 


J871 


91 1 25.7 


2 50 36.1 


351 11 43.8 


9.998802 


9.903057 


9.601531 


18725 


91 2 16.2 


2 51 26.1 


351 12 33.2 


9.998802 


9.963660 


9.601514 


1873 


91 3 6.5 


2 52 16.0 


351 13 22.5 


9.998802 


9.963664 


9.601496 


1874 


91 3 56.9 


2 53 5.9 351 14 11.9 


9.998802 


9.963667 


9.601478 


1875 


91 4 47.2 


2 53 55.8 


351 15 1.2 


9.998802 


9.963671 


9.601460 


18765 


91 5 37.7 


2 54 45.8 


351 15 50.6 


9.998802 


9.963674 


9.601442 


1877 


91 6 28.0 


2 55 35.7 


351 Mi 39.9 


9.998802 


9.963678 


9.601424 


1878 


91 7 18.4 


2 56 25.6 


351 17 29.3 


9.998802 


9.963681 


9.601406 


1879 


91 8 8.7 ' 


2 57 15.5 


351 18 18.6 


9.998802 


".963684 9.601388 


18805 


91 8 59.2 


2 58 5.5 


351 19 8.1 


9.998809 


9.963687 


9.601371 


1881 


91 9 49.5 


2 58 55.4 


351 19 57.5 


9.998802 


9.963691 


9.601353 


1882 


91 10 39.9 


2 59 45.3 


351 20 46.8 


9.998802 


9.963694 


9.601335 


1883 


91 11 30.2 


3 35.2 


351 21 36,2 


9.998802 


9.963697 


9.601317 


18845 


91 12 20.7 


3 1 25.2 


351 22 25.7 


9.998802 


9.963700 9.601299 


1885 


91 13 11.1 


3 2 15.1 


351 23 15.1 


9.998802 


0.903704 9.601261 


1886 


91 14 1.4 


3 3 5.0 


351 24 4.4 


!>.!)8802 


9.963707 


9.601263 


1887 


91 14 51.8 


3 3 54.9 


351 24 53.8 


9.998803 


9.963710 


9.601946 


18885 


91 15 42.3 


3 4 44.9 


351 25 43.4 


9.998803 


9.963713 


9.60 1227 


1889 ' 


91 16 32.6 


3 5 34.8 


351 26 32.7 


9.998803 


9.963717 9.601209 


1890 


91 17 23.0 


3 6 24.7 351 27 22.1 


: 1.998803 


9.963720 9.601191 


1891 


91 18 13.3 


3 7 14.6 351 28 11.4 


9.998803 


9.963721 9.601173 


18925 


91 19 3.8 


3 8 4.6 351 29 0.9 


9.998803 


9.963727 9.601156 


1893 


91 19 54.2 


3 8 54.5 351 29 50.2 


9.998803 


9.963731 9.601138 


1894 


91 20 44.5 


3 9 44.4 35] 30 39.6 


9.998803 


9.903734 9.6011 20 


1895 


91 21 34.9 


3 10 34.3 351 31 28.0 


9.99--- (K! 


9.96373S 9.601102 


I896J9 


91 22 25.4 


3 11 24.3 


351 32 18.4 9.99.-S03 


9.963741 


9.601065 


1897 


91 23 J5.7 


3 12 14.2 


351 33 7.7 9.998803 


9.963745 9.601067 


1898 


91 24 6.1 


3 13 4.1 351 33 57.1 9.99SSD3 


9.90374* 9.601049 


1899 


91 24 56.4 3 13 54.0 351 34 10.4 9.998S03 


9.963751 9.601031 


190(1 5 


91 25 26.9 3 14 44.0 351 35 35> 


9.998803 


9.9637.54 9.601014 





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